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- What is ModBus? | AxoTek
Discover what Modbus is, the most widely used industrial communication protocol, and how to easily integrate it with Excel to monitor and control devices from spreadsheets using VBA or external tools. What is MODBUS and a free Excel example Go to home From the noisy corners of an industrial plant to the quiet and minimalist interior of a laboratory, there is a language that is not heard, but speaks volumes: Modbus. It is the language of PLCs, sensors, and controllers, which communicate with each other to continue generating products, raw materials, medicines, etc. Modbus is an open industrial communication protocol developed in 1979 by Modicon (now Schneider Electric), designed to enable the transmission of information between electronic devices. Its main purpose is to facilitate communication between programmable logic controllers (PLCs), sensors, actuators, SCADA systems, and other industrial equipment. Its operating principle is one asks, one answers (Master-Slave). Key Features: Available Protocols: Modbus RTU (over RS-485): efficient and widely used in the field. Modbus ASCII: less common, more readable, but slower. Modbus TCP/IP: modern version for Ethernet networks. Common data types: Coils: Digital outputs. Discrete inputs: Digital inputs. Input registers: Read-only analog values. Holding registers: Variables that can be read or written. Standard functions: Reading and writing bits and words (16-bit registers). Diagnostics and basic remote control. But let's start from the beginning, and there's nothing more basic than knowing how it works and how it's classified: Modbus and the OSI pyramid The OSI (Open Systems Interconnection) pyramid is a reference model that divides network communication into seven layers, from the physical to the application: Physical layer Data link layer Network layer Transport layer Session layer Presentation layer Application layer Where is Modbus in the OSI pyramid? Modbus is a layer 7 protocol, the application layer. This means that Modbus defines the format and meaning of the messages sent and received to control and read industrial devices. However, Modbus does not define either the physical layer or the data link layer, which are responsible for the actual transmission of bits and managing communication in the physical medium. What does it mean that Modbus is not the physical layer? The physical layer refers to the physical transmission medium, for example: RS-232, RS-485, Ethernet, fiber optic cables, etc. Modbus can operate over different physical media. For example: Modbus RTU uses RS-485 or RS-232 as the physical layer and defines how to structure serial messages. Modbus TCP uses Ethernet (physical and data link layers) and TCP/IP (network and transport layers) to transmit its messages. Therefore, Modbus is not a standard for cables or electrical signals, but rather a protocol that sits on top of other layers so that devices can understand each other. This means that what truly defines the protocol is how it interprets the bits it reads from the different physical layers, which in their basic structure are as follows: In Modbus, data types can be divided into two main types: coils and registers. Coils can be defined as digital, as they can only be ON (1) or OFF (0). Some coils can represent inputs, while others can represent outputs. Registers are 16 bits (2 bytes) unsigned and can therefore have values from 0 to 65535 (0 to FFFF). However, they have limitations, such as not being able to represent negative numbers, floating-point numbers, or values with representations greater than 65535. However, some manufacturers use two or more registers to create floating-point or negative numbers. Knowing that it's a Master-Slave-based protocol, how many devices can be connected to the network? The answer is... it depends. The standard limit is up to 32 devices total (1 master + 31 slaves), without repeaters, but let's analyze each possible scenario: Modbus ASCII (RS-232 or RS-485) With RS-232 (point-to-point): Only 2 devices (1 master and 1 slave). RS-232 is not multidrop, so it doesn't allow more than two devices. With RS-485 (as RTU): Same logic as RTU: up to 32 without repeaters, up to 247 with them. Modbus RTU (RS-485) Up to 32 devices total (1 master + 31 slaves), without repeaters. With RS-485 repeaters: You can reach up to 247 slaves, which is the logical limit of the Modbus protocol (addresses 1 to 247), if you use repeaters to regenerate the signal and increase the electrical fan-out. Modbus TCP/IP (Ethernet) Theoretically: The protocol uses IP addresses, so the practical limit is enormous. Unit ID: typically 1 to 247 (for compatibility with serial slaves through gateways). Number of nodes on the Ethernet network: depends on IP addressing, switches, routers, and traffic. In practice: You can have hundreds or thousands of devices, as long as the Ethernet network supports it. What's important: there is only one master per Modbus TCP connection, but there can be many simultaneous clients if the server/slave supports it. Modbus is a communications protocol, not a network topology per se. However, the way a Modbus network is physically connected, especially Modbus RTU over RS-485, typically adopts a daisy chain topology. A daisy chain network is a form of connection in which each device is connected in series to the next, forming a single communication line: That is: Master ─── > Slave 1 ─── > Slave 2 ─── > Slave 3 ───> Terminator Why does Modbus RTU use daisy chain? RS-485 is a half-duplex multidrop bus, allowing up to 32 devices to be connected on a shared line (with repeaters, up to 256 or more). RS-485 has a single differential line (A/B), and all devices must be connected in parallel, respecting the bus impedance. To avoid reflections, terminating resistors are placed at the ends of the chain. Although the physical connection looks like a direct line, in practical terms it is implemented as a chain—hence the name daisy chain—where the cable "hops" from slave to slave. And what about Modbus TCP? Modbus TCP/IP does not use daisy chain because it is based on Ethernet, which typically uses star (with switches) or mesh (in redundant industrial networks) topologies. In short, Modbus is an open and reliable standard, whose longevity demonstrates its effectiveness. It is the right choice when a simple, interoperable, and well-documented solution is needed for industrial communications. It also has a faster response time than, for example, HART, another industrial digital communication protocol. This makes it suitable for simple control systems that do not respond as quickly as temperature. Example: Sometimes it's very complex to read an article and learn simply from the theory, so at Axotek we've prepared an example that can be very useful in certain cases, such as the following: Imagine you arrive at the plant and find a Coriolis mass flow meter, which you need to know the total flow rate. But, surprise, the device is blind, meaning it doesn't have a display, but it does have a Modbus RTU 485 communication port. There are several ways to solve the problem: 1. Purchase the software from the manufacturer; this can be expensive in certain cases. 2. Search the internet for Modbus reading software such as Modbus Slave or Modbus Poll, but these are usually very complex if you're a beginner. 3. Download the Excel file we have at Axotek and modify it to your needs. For this last case, which is what we'll focus on, we'll need two files: an Excel file and an ActiveX library (OCX). ActiveX libraries are typically paid and licensed, but we'll use the one developed by Modbus Tools. The free version allows you to run for 60 minutes, and then you just need to restart the connection to have another 60 minutes. You can also purchase the paid version for unlimited access. Step 1: Download the two files: Download Modbus Excel Download Mbaxp You can also download Mbaxp from the official Modbus Tool website: https://www.modbustools.com/download.html There are several considerations regarding the files: - This only works with Windows operating systems. - When downloading, you must unzip the *.zip file. - In the case of Excel, it is an *.xlsm file, so it is an Excel file with macros; you must have them enabled. Also, when downloading the file, you must unzip it and right-click. In the General tab, select Unlock at the bottom. *Don't worry, you can scan it with your antivirus before or after unzipping.* 2: Once you have the two files (Excel and Mbaxp) the first thing required is to install the ActiveX library, then you just have to double click on the MBAXPSetup.exe file (choose 32 Bit or 64 Bit) and follow the instructions, once finished the window will close and you will be ready to open Excel. 3: Once installed, we proceed to open Excel, make sure you have the developer tab active, if it is not active in Excel Options > Customize Ribbon > and select Developer: We will base this practical example on how to visualize a Micro Motion CMF series Coriolis flowmeter, which has a Modbus output port. For this project, we need to display the following variables: - Instantaneous flow - Density - Temperature - Mass totalization And, additionally, the ability to reset the totalization to create batches. 4: We will download the Modbus mapping manual from the manufacturer's website and identify the variables we want to read and write, as well as the type of message to be sent. Remember that when installing Mbaxp, Excel becomes the Master and the device becomes the Slave. In the case of reading the variables, the manual states that they are Floating-point register pairs , so we will have two registers, each of which is RO = Read-only: -Flow: 247/248 RO -Density: 249/250 RO -Temperature: 251/252 RO -Total Mass: 259/260 RO So we must enter this information in this section of Excel in the "Inicio" workbook: You may be wondering why, if the flow addresses are 247/248, according to the manual, the addresses 246 are entered in Excel with a length of 2 (second green column). Well, this is because there are two ways to document Modbus registers: the logical address and the Modbus address, but what is each one? The logical address is a base-1 address, and it is widely used in manuals because it is more understandable to start at address 1. The Modbus address is the one with a base of 0; the registers are indexed from zero. That is: Holding Register 1 → address 0 (in the protocol). Also, in many documents, Holding Registers can be presented as 40001, 40002, 40247, etc. However, in actual Modbus transmission, the initial 4 (which indicates "holding register") is omitted and the output starts from 0. If you enter 2 in the second column (green), it means you are going to read two consecutive registers 246/247. The manual mentions that a coil must be activated to reset the totalizer, so we must write a coil. The manual specifies that it is number 3. Therefore, following the previous reasoning, we will enter number 2 in the "Write Coil" section. 5: Once we have researched and entered the data we will read and write, it is important to physically connect the device to the computer. This typically requires the use of a USB to RS485 converter: It can be any brand, and some are quite inexpensive. You just need to correctly install the manufacturer's drivers on your PC and know which COM port it's associated with. You'll also need to make the physical connection to the device according to its user manual: Remember that RS485 adapters can be 2 or 3 wires (A, B, and ground). In this case, we will use only one of the 2 wires, A and B. The A of the RS485 adapter must be connected to the A of the measuring device, and the B to the B. The following must also be configured: Baud Rate: Stop Bit: Parity: Data Bit: Slave ID: These data are usually included in the user manual, unless they have been modified. In this case, you should request these values from the person in charge of the equipment. For the COM port, you can view it in the PC's Device Manager: For the test we will do with a Micro Motion flowmeter, it is configured in Excel as follows: Once everything is configured, all that's left is to press the "Start Comm" button and that's it. A window will open informing you that you have 60 minutes left to use Modbus. When you press "Accept," a window will open showing the communication status. If the message does not appear, it means that you have blocked the ActiveX settings, you just need to enable them in the Excel Trust Center: If everything was done correctly, a window will open in which you can see the variables sent by the slave device and that you entered through the Modbus registers. You can also reset the total by pressing the "Reset Total" button. And with this, you'll be able to view the variables you need in real time. If you want to customize Excel for your project, it's also very simple. Just go to the "Developer" tab and then "See code." By opening the Forms section and then in UserForm1, you can modify the interface to your liking to make it fit your project: Remember that you can adapt this for any sensor, meter, or device that communicates via Modbus. It doesn't replace the manufacturer's software. This is for applications that need to be adapted to your needs. If you need to read or write other types of Modbus registers, the Mbaxp installation folder contains the code guide to do so: We have more files and spreadsheets available: Download If you have any questions about a topic, ask us. Mail
- Calculadora Simple | AxoTek
Calculadora simple y científica fácil de utilizar Simple Online Calculator The Simple Online Calculator is an intuitive and accessible tool that allows you to perform basic calculations quickly and efficiently. Designed to offer a fluid user experience, this calculator is ideal for both everyday tasks and quick calculations at work or home. In a world where mathematics is fundamental for learning and professional development, we present a simple online calculator designed to simplify your numerical challenges, this tool is intended for students, teachers, engineers and anyone who needs to perform complex calculations accurately and efficiently, this simple tool can be useful if you need a calculator and your device does not have one or you would not like to download third-party software and put your mobile devices at risk.
- Conversor de Unidades Longitud | AxoTek
Conversor de unidades de km, m, mm, in, mi, etc. Length Unit Converter Length unit converters are essential tools in numerous technical fields and applications for several reasons, pressure unit converters play a fundamental role in standardization, accuracy and efficiency in numerous technical and scientific fields, contributing significantly to interoperability and the advancement of global technology. Other Converters: -Pressure - Temperature - Flow
- Calculadora RTD | AxoTek
Calculadora para obtener la resistencia o temperatura de un RTD de acuerdo con su alfa y el tipo de RTD. RTD to Temperature Calculator Visit our menu for more articles and information... Our RTD Calculator is an essential tool for engineers, technicians, and professionals who need to accurately calculate temperature from the measured resistance of an RTD (Resistance Temperature Detector). This online software is compatible with various types of RTDs, including PT100 and PT1000, and allows you to convert resistance into temperatures expressed in degrees Celsius (°C), Fahrenheit (°F), or Kelvin (K). Precise RTD Conversions: Effortless Resistance to Temperature Do you work with RTD temperature sensors and need a quick and reliable way to convert their values? Interpreting resistance readings from a PT100, PT1000, or other RTD can be a tedious and error-prone process if done manually using tables or the complex Callendar-Van Dusen formulas. Our RTD Calculator is designed to eliminate this complexity, providing an instant and accurate solution for professionals and enthusiasts. How does this tool help you? Versatile Bidirectional Calculation: Unlike basic tools, our calculator lets you work in both directions. You can convert a measured resistance in Ohms (Ω) to its equivalent temperature (°C, °F, K) and, with just one click, reverse the calculation to find out what theoretical resistance your sensor should have at a specific temperature. Support for Common RTDs: Easily select from the most commonly used RTD types in the industry, such as PT100 and PT1000. The tool preloads standard coefficients to streamline your work. Precision and Flexibility: For applications requiring maximum accuracy or the use of non-standard sensors, you can manually enter the Alpha (α) coefficient of your specific RTD (thermometer type), ensuring that the results are perfectly matched to your equipment. Immediate and Clear Results: Forget spreadsheets and formula searches. Get the conversion you need instantly, with your choice of decimal places and temperature unit. This calculator is an indispensable tool for process engineers, maintenance technicians, instrumentation students, and any electronics enthusiast who needs accurate and reliable temperature measurements. Use it to streamline your workflow and ensure the accuracy of your data. How to Use: Select RTD Type: Choose the type of sensor you are using (PT100, PT1000 or other). Enter the Values: Depending on the calculation mode selected, enter the resistance in ohms or the temperature in the desired unit. Configure the Parameters: Adjust the alpha coefficient and temperature unit as needed. Click on Calculate: Get the result instantly in the desired unit. Reverse Calculation: Switches between calculating resistance from temperature or temperature from resistance. This calculator is essential for applications requiring high-precision temperature measurement using RTD sensors. Try it now and simplify your technical calculations!
- Burnout Test | AxoTek
Evalúa tu nivel de agotamiento laboral con nuestro Test de Burnout profesional, identifica síntomas de estrés crónico, recibe una interpretación inmediata y descubre recursos para mejorar tu bienestar. Herramienta confiable, rápida y gratuita. Assess your level of job burnout with our professional Burnout Test, identify symptoms of chronic stress, receive an immediate interpretation, and discover resources to improve your well-being. A reliable, fast, and free tool. Burnout Test This is an interactive diagnostic tool that allows a person to assess their level of burnout in their work, personal life, and relationships with clients, using the validated methodology of the Copenhagen Burnout Inventory (CBI). Main Purpose The primary objective of this tool is to offer a quick and accurate self-assessment to detect signs of burnout in its initial or advanced stages. It is not a medical diagnosis, but rather a risk indicator that can motivate the person to seek professional support or make changes in their lifestyle and work. 1. Starting the Test Review the Welcome: Carefully read the instructions on the initial screen to understand the scope of the test. Select the Language: Use the drop-down menu in the upper right corner (next to the topic control) to choose between Spanish or English. Start: Click the "Start Test" button to begin. 2. Answering the Questions Honesty is Key: For accurate results, answer each question based on how you have felt lately (generally, within the last 4 weeks). Response Scale: Select the option that best describes how often you experience the situation described: Always / Very often (Maximum burnout score) Often Sometimes Rarely Never / Almost never (Minimum burnout score) Navigation: When you select an option, the system automatically moves to the next question. The progress bar and counter at the top will show you how many questions are left. Use the "Back" button if you need to review or change a previous answer. Completion: Once you answer the last question (19/19), the "Next" button will change to "View Results." The final screen will display your results on a scale of 0 to 100, where a higher score indicates a greater level of exhaustion. The larger the triangle (farther from the center), the greater the overall exhaustion and the risk of burnout. A text box will provide a general interpretation and a recommendation based on your highest scores (e.g., "Moderate Stress" or "High Risk"). Scores < 50: Generally, a healthy state with manageable levels of exhaustion. Scores ≥ 50: Suggest a moderate level of stress and exhaustion that requires attention (review rest habits and work boundaries). Scores ≥ 75: Indicate a high level of exhaustion that may represent a significant risk of burnout. Seeking a mental health professional is recommended. What is occupational burnout syndrome? Burnout Syndrome, also known as Occupational Burnout Syndrome or Burnout Syndrome , has become a crucial concern in the modern workplace. It is not simply "being stressed" or "tired," but a state of prolonged physical, emotional, and mental exhaustion that has profound consequences for health, productivity, and overall well-being. In 2019, the World Health Organization (WHO) officially recognized Burnout as an occupational phenomenon, including it in the International Classification of Diseases (ICD-11) as a syndrome resulting from chronic workplace stress that has not been successfully managed. Burnout does not arise from individual weakness, but from the chronic interaction between the worker and a dysfunctional work environment. The main risk factors are grouped as follows: Organizational Factors Excessive Workload: Job demands that chronically exceed the employee's time and capacity. Lack of Control: Lack of autonomy or influence over the work performed or the decision-making process. Organizational Injustice: Perception of inequity in compensation, promotions, performance evaluation, or workload distribution. Conflicting Values: Conflict between the employee's personal values and the organization's values or ethics (e.g., being forced to sell unethical products). Lack of Social Support: Absence of supportive relationships with colleagues or supervisors. Role Ambiguity/Conflict: Unclear responsibilities or receiving contradictory orders. Personal Factors Although work-related factors are the primary triggers, certain personal characteristics can increase vulnerability: Extreme perfectionism. High need for control. Type A personality pattern (competitive, impatient). Low self-esteem. Difficulty delegating or setting boundaries. Detecting and treating burnout is fundamental, as its consequences extend far beyond the workplace. Consequences for the Individual Physical Health: Increased risk of cardiovascular disease, sleep disorders, chronic headaches and muscle pain, and a weakened immune system. Mental Health: Depression (burnout is a significant risk factor), anxiety, substance abuse, and suicidal thoughts. Personal Relationships: Deterioration of family and romantic relationships due to irritability, cynicism, and lack of energy. Psychological treatment is essential, generally focused on Cognitive Behavioral Therapy (CBT) or mindfulness-based therapies. Cognitive Restructuring: Identify and change perfectionistic or irrational beliefs about one's own responsibility and control. Setting Boundaries: Learn to say "no," delegate tasks, and disconnect digitally from work. Sleep and Rest Hygiene: Prioritize adequate sleep and promote active rest (exercise, hobbies). Developing Coping Skills: Implement stress management and relaxation techniques. Pharmacological Support: In severe cases where burnout has progressed to depression or clinical anxiety, the use of antidepressants or anxiolytics may be necessary, always under medical and psychiatric supervision. Remember: This is a self-assessment tool. If your scores are high and you feel your well-being is compromised, always consult a healthcare professional.
- Calculadora Densidad del Agua | AxoTek
Tanaka, Takenaka, densidad del agua, densidad, calculadora de densidad del agua, 20 °C, densidad del agua a 20 °C. Density of water by M. Tanaka The density of water is very important due to its use in various fields of science and industry, including equipment calibration. This calculator is based on the method published by M. Tanaka in 2001, and is described for temperatures from (0 to 40) °C, the work was approved by the CIPM (International Committee of Weights and Measures) the relative standard uncertainty used for the formula is of the order of 1x10-5. M. Tanaka's formula is modified to omit corrections for dissolved air and liquid compressibility, likewise the constant a5 is given for tap water, if another type of water is required the isotopic abundance must be calculated, this is the proportion or percentage in which the different isotopes of a chemical element are found in nature, in this case water, which can vary for different types of water, such as seawater, drinking water, distilled water, etc. At Axotek, we listen to our users. If you need a calculator to make your work and/or projects easier, you can contact us, and as soon as possible, we'll have it online at no cost to you. Request calculator
- Calculadora de Gravedad Local | AxoTek
Definicion de gravedad, gravedad local, calculadra de gravedad local. Local gravity Local gravity is the acceleration with which objects fall at a specific point on Earth. The standard value of 9.8 m/s² is commonly used in schools and educational centers; this value can vary slightly depending on factors such as latitude and altitude. Gravity is one of the four fundamental forces of physics (gravity, electromagnetism, strong force and weak force), it is a phenomenon that is appreciated only on a large scale such as in planets or galaxies, this is because it is the weakest force known, it is presented as an attraction in bodies with a lot of mass or energy as a consequence of a curvature of space-time. Gravity is not uniform across the Earth's surface due to several factors: Shape of the Earth: Our planet is not a perfect sphere; it is an oblate spheroid, flattened at the poles and bulging at the equator. This means that at the poles you are closer to the Earth's center than at the equator, which slightly increases gravity in those regions. However, the reality is even more complex: variations in the planet's density and irregularities in the Earth's surface make the Earth's true shape more like a geoid. Earth's rotation: The Earth's rotation generates a centrifugal force that partially counteracts gravity, especially at the equator, where this force is greatest, thus reducing effective gravity. Altitude: The higher the altitude, that is, the further you are from sea level, the less gravity there is, since you are further from the Earth's center. At Axotek, we listen to our users. If you need a calculator to make your work and/or projects easier, you can contact us, and as soon as possible, we'll have it online at no cost to you. Request calculator
- Calculadora Área-Velocidad | AxoTek
Calculadora Area-Velocidad, Flujo, Caudal, Gasto, NMX-179, NMX-AA-179-SCFI-2018, Norma agua Area-Velocity The area-velocity method consists of knowing the hydraulic area (A) by dimensional means and the velocity (V) by means of a current meter, either digital or analog, and applying the Castelli equation (Q=AV) to know the flow rate or discharge (Q). For this, and following NMX-179, the area and velocities must be discretized into a number of segments according to the width of the channel. Area-Velocity Calculator in Channels Pipe Area-Velocity Calculator Area-Speed by Mean-Section Voussoirs Water flow measurement is a constant requirement in multiple fields of engineering, from water resource management to the operation of industrial systems, treatment plants, distribution networks, and metrology laboratories. Among the various methods available, one of the most widely used due to its simplicity and versatility is the Area-Velocity method, which allows flow rate to be calculated based on two fundamental variables: the area through which the fluid flows and its velocity. This method can be applied to both closed pipes and free-surface channels, although each method presents important specificities regarding flow behavior and the parameters that must be considered for an accurate measurement. Basic Principle of the Area-Velocity Method The basic principle behind the method is quite intuitive: to know how much water is passing through a point, it is enough to know the size of the space through which it flows (the area) and the velocity at which it moves. Multiplying these two quantities gives the volumetric flow rate. However, in practice, this calculation poses several challenges. For example, water velocity is not uniform throughout the section; it is typically faster in the center and slower at the walls or bottom, if the flow profile has already developed, due to friction. Therefore, it is important to refer to the mean velocity, which can be estimated with various instruments depending on the case, such as electromagnetic flowmeters, ultrasonic sensors, etc. When flow occurs inside a closed pipe, the behavior of water is influenced by its velocity, viscosity, and pipe size. This is where a parameter called the Reynolds number comes into play, which is used to classify the type of flow: whether it is smooth and orderly (laminar) or turbulent and chaotic. However, this is not what most influences the correct flow measurement. In the real world, when talking about water flow in a closed pipe, the Reynolds number will be in the tens or hundreds of thousands, so it will be turbulent in almost all scenarios. What the Reynolds number can help us with is correcting the velocity profile, which determines the velocities at different points within the pipe's cross-section. If you'd like to learn more about the topic, check out our other article: Speed Profile When flow occurs in open channels, such as rivers, ditches, or irrigation canals, the situation changes. Here, the dominant influence is gravity, as water flows along gradients rather than pressure, as in the previous case. In this context, the Froude number becomes the key parameter. This number compares the velocity of the water with the speed at which waves propagate on the surface. If the water moves slowly, waves can travel in both directions (subcritical flow), but if it moves very quickly, waves cannot return (supercritical flow). This distinction is vital, as it affects the shape of the flow and, therefore, the strategy for measuring it correctly. Froude No. Castelli's Contribution and Bernoulli's Legacy The origin of the Area-Velocity method dates back to the dawn of modern hydraulics. In the 17th century, the Italian Giovanni Benedetto Castelli, a disciple of Galileo Galilei, was one of the first to study the movement of water from an experimental perspective. He observed that the flow rate of water exiting an orifice depended on both the size of the orifice and the height of the water above it. Although his studies were still empirical, they marked a turning point. His work influenced Daniel Bernoulli, who, decades later, would develop the famous principle that bears his name, which describes how energy is conserved in a moving fluid. Where: Q: flow rate (volume per unit time) A: cross-sectional area V: mean flow velocity In this article, we offer three calculators that will suit your needs: one for pipe flow and two for free surface flow. In the latter case, there are two methods. One is obtained through the hydraulic area of a lined channel, typically rectangular or trapezoidal, by calculating the cross-sectional area and entering the velocity. In the second, we offer the mean-section method, which discretizes the flow into segments or sections to determine the velocity and depth of the channel at each point. This is done with the goal of obtaining a more accurate profile of the average axial velocity in the channel. At Axotek, we listen to our users. If you need a calculator to make your work and/or projects easier, you can contact us, and as soon as possible, we'll have it online at no cost to you. Request calculator
- Interpolation and Extrapolation Calculator | AxoTek
Interactive interpolation and extrapolation calculator. Allows you to enter custom values, choose the number of decimal places, and define units. Visualize the results with dynamic graphs for better understanding. Calculadora interactiva de interpolación y extrapolación. Permite ingresar valores personalizados, elegir el número de decimales y definir unidades. Visualiza los resultados con gráficos dinámicos para una mejor comprensión. Interpolation and Extrapolation Calculator Visit our menu for more articles and information... Our online interpolation and extrapolation calculator is an accurate and easy-to-use tool designed for engineers, scientists, mathematicians, and anyone who needs to estimate values based on known data. It uses formulas based on classical linear and polynomial interpolation methods as well as extrapolation techniques to predict values outside the range of existing data. These methodologies have been widely used in a variety of disciplines, from physics and engineering to economics and data analysis. The calculator allows you to enter custom values, select the number of decimal places, and define units of measurement. It also offers an intuitive interface with dynamic graphics to visualize the results clearly and effectively. It is a versatile tool for professionals and students around the world. Optimize your calculations and improve your analysis with our online interpolation and extrapolation calculator! In almost every field of science and engineering, we work with data. However, we rarely have all the data we need. We measure the temperature at 8 AM and 10 AM, but what was the temperature at 9:15 AM? We obtain the efficiency of an engine at 2000 and 3000 RPM, but what will its efficiency be at 2450 RPM? This is where interpolation and extrapolation come into play: they are the mathematical tools that allow us to make intelligent estimates to predict unknown values from those we already know. The need to estimate values is not new. Its roots go back to antiquity, long before computers. Ancient Astronomy: Greek astronomers, such as Hipparchus (2nd century BC), and later Ptolemy, pioneered the use of interpolation. To predict the position of the planets and stars, they created trigonometric tables (such as tables of sines and cosines). These tables did not contain all possible angles, so they developed methods to estimate intermediate values, laying the foundation for interpolation. The Calculus Revolution: In the 17th century, with the development of calculus, interpolation took a giant leap forward. Isaac Newton developed his famous "divided difference interpolation formula," a very powerful method for fitting a polynomial (a smooth curve) that passed exactly through a set of known points. Almost at the same time, Joseph-Louis Lagrange developed an alternative polynomial method that is conceptually simpler. The Digital Age: With the advent of computers in the 20th century, interpolation became a cornerstone of numerical analysis. Methods that were previously tedious to calculate by hand could now be performed in seconds, allowing their use in fields as diverse as aircraft design, digital image processing, and financial modeling. How Does Linear Interpolation Work? (The Simplest Method) The most basic and common form of interpolation is linear. The idea is incredibly intuitive: if you have two known data points, you assume the relationship between them is a straight line and find your unknown value somewhere on that line. Let's imagine we have two known points: Point 1: (X1, Y1) Point 2: (X2, Y2) And we want to find the value of Y for a new point X that lies between X1 and X2. 1. Calculate the Slope (the steepness of the line): First, we calculate the slope (m) of the straight line joining our two points. The slope tells us how much Y changes for every unit that X changes. Once we have the slope, we can use the equation of the line to find our unknown Y. The formula is derived from the idea that the slope between the first point and our new point must be the same as the total slope. Substituting the slope formula, we obtain the complete equation for linear interpolation:
- CV | AxoTek
CV (curriculum) de Ivan Ramirez Ledesma Ivan Ramirez Ledesma Project Engineer Automation Engineer from the Autonomous University of Queretaro, passionate about metrology, science and technology, with experience in industry, projects and private laboratories, trained in magnitudes such as Liquid flow in pressurized pipes, Free surface flow, Pressure, Temperature, Mass, Humidity, Analytical Measurements, Volume, etc. Responsible for laboratory and in the management of projects, budgets and personnel. Experiencia Laboral: Responsable de Laboratorio MetrikaLAB - El Marqués, Qro.enero 2022 a abril 2026 Responsable de los laboratorios de Flujo, Volumen, Masa, Temperatura, Presión, Humedad, pH, Conductividad y Medios Isotermos. Con las siguientes responsabilidades: Realización de actividades técnicas y administrativas del laboratorio. Supervisar y coordinar al personal técnico a cargo de las calibraciones. Capacitar a personal de nuevo ingreso en la ISO 17025 y normas técnicas de acuerdo al área. Asegurar que los servicios cumplan con la expectativa del cliente. Generar proyectos de ampliación en magnitudes, desde el concepto hasta su implementación. Atender auditorias internas y externas, tanto de la EMA como de clientes. Mantener los patrones e inventario de auxiliares como lo marca el SGC. Supervisar y garantizar la emisión de certificados de calibración. Elaboración de procedimientos de calibración, calculo de incertidumbre, cartas control, presupuestos de incertidumbre y tablas CMC. Validación de Hojas de calculo. Asegurar el control de los registros técnicos. Ing. de Proyectos Grupo Forem (Metrolab) - Querétaro, Qro.junio 2021 a diciembre 2021 Proyecto de acreditación de Flujo de líquidos por el método estático. Cotización y generación de presupuesto del proyecto. Generar informes sobre avances y viabilidad del proyecto. Cotización de equipos y accesorios. Calibración de equipos de Temperatura, Presión, Dimensional, Masa y Dureza. Generar certificados de calibración y registros técnicos. Metrólogo MetrikaLAB - El Marqués, Qro.junio 2017 a abril 2021 Signatario en las Magnitudes de Flujo, Presión, Temperatura y Masa Realización de servicios de calibración en Sitio y en Laboratorio. Generar certificados de calibración de los servicios realizados. Generar los registros técnicos de acuerdo con el SGC. Logística de los servicios en sitio. Mantener patrones dando mantenimiento. Verificaciones de patrones y equipo auxiliar. Recibir auditorias técnicas ante la EMA. Conocimiento sobre la ISO 17025 Ingeniero Instrumentista PPG Mexico - San Juan del Río, Qro.febrero 2017 a junio 2017 Instrumentista de planta de pintura liquida y resinas Calibración interna de equipos de calibración de acuerdo a plan. Diagnostico y reparación de equipos con fallas. Mantenimiento preventivo programado de equipos de medición en las diferentes plantas. Tecnico Metrologo Indutrial DMJ (Emerson Process Management) - El Marqués, Qro.noviembre 2013 a enero 2017 Calibración de equipos de Flujo dinámico Calibración de equipos de Flujo Estático Realización de certificados de calibración Diagnostico de Equipos y procesos de Flujo, Presión, Temperatura Puesta en marcha (comisionamiento) de equipos de medición bajo protocolos y estándares de comunicación 4-20 mA, Hart, Fieldbus y Modbus. Reparación de equipos de medición digitales. Proyectos Realizados: - Proyecto de ampliación en la magnitud de temperatura por Callendar Van Dusen. - Primer Laboratorio acreditado ante la EMA en Flujo de líquidos por método Ultrasonido no intrusivo (No. de Reynolds). - Proyecto de laboratorio y acreditación de las magnitudes de pH y conductividad. - Proyecto de laboratorio y acreditación de la magnitud de Caracterización de Medios Isotermos. - Proyecto de laboratorio y acreditación de la magnitud de Humedad Relativa de Gases. - Proyecto de laboratorio y acreditación de la magnitud de Grandes volúmenes para tanques horizontales por el método geométrico. - Proyecto de primer laboratorio acreditado ante la EMA en Flujo de superficie libre en los métodos: Parshall, AGL y Área-Velocidad.
- Correccion Perfil de Velocidad | AxoTek
Calculadora de perfil de velocidad por medio del numero de Reynolds. Speed profile correction Welcome to our advanced engineering calculator, a fundamental tool for professionals who demand maximum accuracy in flow measurement. This calculator addresses a key phenomenon in fluid dynamics: velocity profile correction based on the Reynolds Number. In any pipe, the fluid velocity is not uniform across the entire cross-section. The shape of this "velocity profile" changes dramatically depending on whether the flow is laminar or turbulent. Flow meters, especially those whose operating principle is based on velocity, are extremely sensitive to these changes, and failing to account for them is one of the main sources of error in industrial measurement. Why is Speed Profile Correction Crucial? The velocity distribution of a fluid within a pipe is key to understanding the performance of a meter. In Laminar Flow (Re < 2000): The fluid moves in ordered layers. The velocity profile is parabolic (bullet-shaped), with a maximum velocity at the center of the pipe and zero velocity at the walls. In Turbulent Flow (Re > 4000): The movement is chaotic and eddy. This results in a much flatter and more uniform velocity profile across most of the pipe diameter. Flow meters are typically calibrated for a specific flow profile (usually for developed profiles). When the Reynolds number of your process changes (due to variations in velocity, viscosity, or temperature), the velocity profile also changes. A meter calibrated for turbulent flow will give an incorrect reading if the flow becomes laminar, and vice versa. Our calculator solves this problem by adjusting the flow reading based on the current regime, determined by the Reynolds number you provide. If you don't know the Reynolds number, you can calculate it using the following calculator or here. If you require more information on speed profile correction, you can consult our article: Profile Correction
- Calculadora Velocidad del Sonido en Agua | AxoTek
Calculadora velocidad del sonido en agua, velocidad sonido agua, velocidad del sonido en agua temperatura, velocidad del sonido en agua por temperatura, temperatura. Speed of sound in water The speed of sound in water changes depending on the temperature and type of water. In the case of brackish water, the water's salinity influences its density and, therefore, the speed of sound. Saltwater is denser than freshwater due to the presence of dissolved salts. The speed of sound in a medium is influenced by the medium's density and compressibility, and since salinity affects the density of water, it also affects the speed of sound in that medium. Therefore, to calculate the speed of sound in saltwater, its salinity must be taken into account. A typical salinity range is 35 ppt or g/L. When velocity accuracy is required, as in the case of ultrasonic flow measurement, a fixed value for velocity cannot be assumed. It critically depends on environmental variables such as temperature, salinity, and pressure (depth). One of the most widely used formulas in scientific and industrial contexts is the one proposed by K.V. Mackenzie in 1981, which offers good accuracy for saltwater within a wide operational range. This equation allows the speed of sound c (in m/s) to be estimated as a function of: Temperature (°C): T Salinity (ppt): S Depth (m): D Its importance lies in the fact that depending on the measurement technology used, from sonars to ultrasonic flow meters, it can provide a difference in meters or L/min. This is because these devices depend entirely on sound propagation, especially when their operating principle is Time in Transit or Time of Flight. In scientific contexts, this can mean inaccurate oceanographic data; in the naval industry, it can lead to navigation errors; and in defense, it can compromise threat detection. In metrology, it can lead to errors during the calibration of critical equipment for different types of industries. Furthermore, the study of sound propagation in water also has an environmental impact. Underwater noise caused by vessels and industrial activities propagates differently depending on these physical conditions, directly affecting marine wildlife that navigate and communicate through sound. At Axotek, we listen to our users. If you need a calculator to make your work and/or projects easier, you can contact us, and as soon as possible, we'll have it online at no cost to you. Request calculator




