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  • Seleccion Patron IPFNA | AxoTek

    Clasificacion de IPFNA (Intrumentos para pesar de funcionamiento no automatico) y seleccion de patrones IPFNA Pattern Selection Professional Tool for Calculating Maximum Permissible Error (MPE) in Calibration. Welcome to our specialized tool for metrology, quality, and engineering professionals. This MPE calculator is an essential solution for determining whether a set of standard weights is suitable for the calibration of a non-automatic weighing instrument (NAWI), such as a scale or balance. Instructions: 1.- In the calculator, enter the range of the scale or balance. 2.- Select the units of the scale or balance. 3.- Select the resolution of the scale (d or e) . 4.- Press the "Calculate MPE" button In the world of precision measurement, ensuring that an instrument operates within its specified tolerances is an essential requirement for complying with quality standards, industry standards, and regulations such as those established by the OIML (International Organization of Legal Metrology). Our calculator simplifies one of the most critical steps in this process, using OIML R-111. What is the Maximum Permissible Error (MPE) and why is it so important? The Maximum Permissible Error (MPE) is the maximum difference allowed, by regulation or specification, between the nominal value of a standard weight and its actual conventional mass value. In simple terms, it is the small error that a high-precision weight can be "tolerated" to have. The key to good calibration lies in the following fundamental principle: the instrument you use to calibrate must be significantly more precise than the instrument being calibrated. The Golden Rule in Calibration: The One-Third Condition (PTH/3) To ensure the validity of a calibration, metrology establishes a crucial rule: the combined uncertainty of your standards (in this case, the sum of the PTHs of the weights you will use) must be at least three times better than the resolution (or minimum division) of the instrument to be calibrated. Condition to be met: Resolution ≥ (Sum of PTHs / 3) Our calculator automates this verification for you. Determine the optimal combination of weights to reach the maximum range of your scale and then check if this indispensable condition is met. Interpreting the Results Can be calibrated: Excellent! The result indicates that the uncertainty of your standard weights is low enough to perform a reliable calibration of your instrument, complying with the one-third rule. Cannot be calibrated: This result means that the sum of the errors of your weights is too large compared to the resolution of your scale. To proceed, you would need to use a set of weights of a higher accuracy class (for example, going from F1 to E2). Our tool gives you the confidence to perform accurate calibrations that meet the highest quality standards. Start calculating now and ensure the reliability of your measurements!

  • Conversor de Unidades Flujo Másico | AxoTek

    Conversor de unidades de Flujo másico en varias unidades. Mass Flow Unit Converter In process engineering, physics and commerce, the accurate measurement of fluid flow is a fundamental pillar. Flow, understood as the quantity of a substance that moves through a cross-section per unit of time, can be expressed primarily in two quantities: volumetric flow and mass flow. Although conceptually related, these measurements have very different technical and practical implications. It can also be converted from Volumetric Flow to Mass Flow, knowing the density of the fluid: To understand the purpose of each converter, it is crucial to differentiate between the two quantities. Volumetric Flow (Q): Represents the volume of a fluid passing through a point in a given time interval. Its formula is Q = V/t (Volume/time). It is measured in units such as cubic meters per hour (m³/h), liters per minute (L/min), or gallons per minute (gal/min). A critical characteristic of volumetric flow is its dependence on process conditions, such as temperature and pressure, as these affect the density of the fluid and, therefore, the volume occupied by a given mass. Mass Flow (ṁ): Represents the mass of a fluid passing through a point in a given time interval. Its formula is ṁ = m/t (mass/time). It is measured in units such as kilograms per second (kg/s) or pounds per hour (lb/h). The main advantage of mass flow is that it is a measure independent of temperature and pressure variations. Mass does not change, making it a more reliable and fundamental quantity for material balances, chemical reactions, and commercial transactions (custody transfer). Furthermore, measurement equipment that directly measures mass flow (usually Coriolis flowmeters) typically has the highest accuracy class on the market. However, mass can also be measured with equipment that uses velocity measurement technology but independently measures process temperature and pressure. The cornerstone that connects both worlds (volume and mass) is density (ρ), the mass per unit volume. The fundamental relationship is: This equation, although simple, reveals that accurate conversion from volumetric to mass flow depends entirely on the ability to accurately determine the fluid's density under actual process conditions. Density is not a constant; it is a function of temperature, pressure, and fluid composition. Obtaining a reliable density value is a technical challenge in itself, which may require: Direct Measurement: Use of in-line densitometers. Table Calculation: Use of fluid property tables (such as steam tables for water) that correlate density with temperature and pressure. Equations of State: Mathematical models that predict the behavior of a fluid under different conditions. Therefore, the conversion is not just a change of units, but an engineering calculation that must consider the thermodynamic state of the system. Uncertainty calculation to determine if your process tolerance is consistent with the method used. Other Converters: -Pressure - Temperature - Volume GO TO CONVERTERS...

  • 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 speed (V) by means of a meter, either digital or analog, and applying the Castelli equation (Q=AV) to know the flow rate (Q). To do this, and following the NMX-179, the area and speeds must be discretized into a number of segments according to the width of the channel. Area-Velocity in channels Area-Velocity in Pressure Pipe 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

  • 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. Neither calculation takes into account contributions from changes in water pressure or depth. In the case of brackish water, the salinity of the water influences its density and therefore the speed of sound. Saline water is denser than fresh water due to the presence of dissolved salts in it. The speed of sound in a medium is influenced by the density and compressibility of the medium, 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 saline water, its salinity needs to 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

  • Calculadora del No. de Froude | AxoTek

    Calculadora del numero de Froude, calculo numero de Froude, No. de froude, Numero de froude, Gravedad Local, calculo de gravedad local, calculadora de gravedad local. Froude number (Fr) The Froude number (Fr) is a dimensionless number that relates inertial forces and the local force of gravity. *Simplified calculation of local gravity. The Froude number is a fundamental dimensionless parameter in hydraulic studies, used to understand free surface (non-pressurized) flows. It is defined as the ratio of flow velocity to the propagation speed of gravity waves at the surface, or as the ratio of inertial forces to the local force of gravity. Its mathematical expression is: Where: - Fr: dimensionless Froude number. - v: average axial velocity of the fluid. - g: local gravity. - L: hydraulic depth of the channel. This number is used to determine whether the flow regime is subcritical, critical, or supercritical. Subcritical regime (Fr < 1): Characterized by low velocities and high depths, where gravity dominates the flow. Disturbances can propagate both upstream and downstream. Critical regime (Fr = 1): At this point, inertial and gravitational forces are balanced. The flow reaches the minimum specific energy for a given flow rate, and any disturbance can cause a transition to a regime. This phenomenon is precisely what is used for flow measurement in regime-changing gauges such as Parshall flumes or Long Throat Gauges (LTGs). Supercritical regime (Fr > 1) In this regime, the flow exhibits high velocities and low depths (normal behavior with increasing velocity), dominated by inertia. Disturbances only propagate downstream, which means that flow control must be achieved from upstream. When it is necessary to know the regime that exists in a channel or river without the need to take measurements, there is an empirical method used by hydraulic experts. This is important since to perform the gauging of a river, a Froude number < 0.6 is required, just as if a regime change gauging system is installed, it is required that before the control zone, a subcritical regime is had precisely so that when passing through the Parshall, AGL, etc., a regime change occurs to supercritical and the height at the critical depth can be measured and the flow circulating in that river can be known. Therefore, the method known as putting the stick in consists of putting a stick into the river and checking the behavior of the waves that are generated as in the following image: With enough experience, you will be able to empirically determine the approximate Froude number without having a level and speed meter at hand. 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 Constantes Parshall | AxoTek

    Calculadora constantes parshall, Parshall, Canales abiertos, superficie libe, caudal, flujo. Parshall Constants Calculator The Concept of Deriving Parshall Channel Constants (C and m) The constants C and m for Parshall channels are not derived directly from theoretical principles of fluid mechanics for each channel size; instead, they are the result of an exhaustive process of experimental and empirical research. Important notes: Non-standard values: Values for W < 3" or 7.62 cm are theoretical extrapolations and are not supported by official standards. Parshall flumes for W < 3" are rare in practical applications due to accuracy limitations in low flow measurements. Values for W ≥ 3" were obtained from "JM De Azevedo and Guillermo Acosta (1976) Manual de Hidráulica" and from the Mexican standard "NMX-AA-179-SCFI-2018" Recommendation: If you need to use a Parshall flume for W < 3", consider performing an experimental calibration (secondary method) or using alternative technologies (such as triangular-crested weirs). What is a Parshall Flume? The Parshall flume, also known as a Parshall meter, is a hydraulic structure used to measure flow in open channels. It was developed by Ralph L. Parshall in the 1920s and has become a standard tool in hydraulic engineering due to its accuracy and ease of use. This device is characterized by its specific shape, which includes a convergent section, a narrow throat, and a divergent section, allowing the flow rate (Q) to be calculated from the depth measurement (h). Parshall Flume Constants and Flow Calculator Do you need to calculate the C and m constants for a Parshall flume? Or determine the flow rate Q quickly and accurately? Our Parshall Flume Constants Calculator is the perfect tool for you! With an intuitive and easy-to-use interface, this calculator allows you to: Calculate the constants C and m: Enter the throat width (W) and obtain the constants needed for the flow rate formula. Determine the flow rate (Q): Enter the hydraulic head (h) and calculate the flow rate in cubic meters per second (m3/s). Accurate results: Uses linear interpolation to get accurate values, even if the throat width does not match the values in the table. This tool is ideal for hydraulic engineers, students, and professionals working with Parshall flumes. Streamline your calculations and save time with our online calculator! To calculate flow only and learn more about Parshall visit our other resources: Parshall Calculator

  • Caluladora Parshall para canales | AxoTek

    Calculadora parshall, Parshall, Canales abiertos, superficie libe, caudal, flujo. Parshall Calculator The Parshall flume consists of a rigid structure with a flat-bottomed converging section at the inlet, a short throat section with a positive slope of 3:8, and a diverging section with an adverse slope of 1:6 at the outlet. The Parshall flume is a type of critical gauge. Its design causes the flow to transition from a subcritical to a supercritical condition through a critical flow point. This principle allows the flow rate to be related to the water level in a predictable manner. It combines a hydraulic phenomenon that occurs due to a change in regime from subcritical (F<1) to supercritical (F>1), given by the Froude number, with a level measurement to determine the channel's flow rate. It is recommended to have a Froude number less than 0.6 before the flume. Why measure flow without knowing the velocity? Normally, when we talk about measuring flow or discharge in a channel, it is usually done using the Area-Velocity method. However, in this case, it is not necessary to measure the velocity directly. By forcing the flow to pass through a critical section, the need to measure velocity is eliminated; only the depth or depth needs to be measured. At the critical depth point, the relationship between depth (water height) and discharge is unique (for a given section), allowing the height to be used simply as an input variable. We can make an example of a calculation for a flow in a Parshall canal: Where: Q is the flow rate (m³/s). hₐ is the head or depth (m). C is the adjustment coefficient. m is the adjustment exponent. According to the Parshall table: Since the throat (b) is 0.152 m or 6 inches, the values are as follows: hₐ = 0.15 m (a random depth within the Parshall's reach) C = 0.381 m m = 1.580 m In the event that the Parshall gauge does not match the throat sizes listed in the regulations, it can be calculated, however it must be remembered that these are theoretical interpolations and precision is lost, especially in throats smaller than 6 inches or 0.15 m: If you need to know the constants C and m of the formula you can visit our other articles: Parshall constants

  • Correción del Perfil de Velocidad | AxoTek

    Aquí encontraras una guía y una calculadora de como corregir el perfil de velocidad en fluidos en tubería a presión Speed Profile Profile correction Go to Calculator... Velocity profile correction is critical in fluid flow measurement and analysis. This process adjusts flow meter readings to account for variations in fluid velocity across the conduit cross section, ensuring accurate measurement. In this guide, we'll explain what velocity profile correction is, its importance, common methods for correcting it, useful formulas, and best practices. What is Velocity Profile? The velocity profile of a fluid describes how the velocity of the fluid varies at different points in the cross section of a duct or channel. In most cases, the velocity is not uniform due to friction with the duct walls and other factors. In laminar flow, the velocity is highest at the center and decreases toward the walls, while in turbulent flow, the velocity distribution is more uniform but still exhibits significant variations near the walls. In a laminar flow, the velocity profile is parabolic and is described by the equation: where: v(r) is the velocity at a distance r from the center of the tube. vmax⁡v is the maximum velocity at the center of the tube. R is the radius of the tube. To correct the total flow Q: Turbulent Flow Correction Factor: In turbulent flow, a correction factor k is used which depends on the measured and fitted velocity profile: The k factor can be determined empirically or by simulations. There is another way to correct the flow profile through the Reynolds number, this is especially useful in ultrasonic flow measurement equipment. Profile correction factor (kh) versus Reynolds number for fully developed flow in smooth pipes: X -> Rynolds No. Y -> kh (velocity profile correction) 1 -> kh = 1 asymptote for flat profile. 2 ->kh = 1/(1.119 - 0.011 log(Re)) for turbulent flow. 3 -> kh = 0.75 for laminar flow. Since studies carried out in laboratories have determined that in the case of water and for flows or flow rates with velocities ranging from (0.1 to 12) m/s the Reynolds number ranges between 10,000 Re and 5,000,000 Re, and considering that, in most equipment, its nominal flow is close to 2 m/s, the calculator for the correction in turbulent flow was implemented. It should be noted that to obtain the kh, the tool for calculating the Reynolds No. is also required. Explore More About Flow Measurement and Correction! To learn more about velocity profile correction and other key concepts in fluid dynamics, continue exploring our website and discover additional resources, technical articles, and how-to guides designed to help you improve your knowledge and skills. Go to Calculator...

  • Calculadora Punto de Rocío | AxoTek

    Calculadora para obtener la temperatura del punto de rocio a traves de su humedad y temperatura ambiente. Dew Point Calculator Visit our menu for more articles and information... Our Dew Point Calculator is an easy-to-use tool that allows you to determine the dew point based on ambient temperature and relative humidity. The dew point is the value to which air must be cooled in order for the water vapor it contains to become saturated and condense as dew, and is an important indicator in meteorology, HVAC, and many industrial processes. Features: This calculator is based on the Magnus-Tetens formula (Mark G. Lawrence, 2005). It provides an uncertainty of 0.35°C within a range of -40°C to 50°C. In our daily lives, we are surrounded by meteorological phenomena that we often overlook. One of the most interesting and useful is the dew point. Although it sounds like a term for expert meteorologists, understanding it has surprising practical applications that can help you at home, in the garden, and even when planning your activities. What Exactly Is the Dew Point? Imagine a glass of ice-cold water on a hot day. Within minutes, the outside of the glass becomes covered in tiny water droplets. Where do they come from? It's not that the glass is leaking; it's that the air surrounding it has cooled so much upon contact with the cold surface that it can no longer hold all of its moisture. The dew point is exactly that temperature. In simple terms, the dew point is the temperature to which the air needs to cool for the water vapor it contains to condense and turn into liquid water. It's a much more accurate measure of humidity in the environment than "relative humidity," as it tells us at what exact temperature condensation will begin to form. The Dew Point in Your Daily and Professional Life Knowing this value is more than just a curiosity. It has a direct impact on our comfort, safety, and in various industries and in your home. At Home: Prevent Mold and Dampness: If the dew point outside is high and the temperature of your walls or windows is lower than that, condensation will appear. This can cause mold and damage the structure of your home. Our calculator helps you know when is a good time to ventilate or use a dehumidifier. Wind Chill: A high dew point (above 20°C) means the air is "sticky" and sweating doesn't cool us effectively. A low dew point (below 10°C) indicates dry, comfortable air. In Industry: Prevent Corrosion: When painting or applying coatings to metal surfaces, it is crucial that the surface temperature is at least 3°C above the dew point. Otherwise, an invisible layer of condensation could form and ruin adhesion, causing rust and premature failure. Storage: In warehouses and storage facilities, ensuring that the temperature does not drop below the dew point is vital to protecting moisture-sensitive products, such as electronics, paper, or food. In Agriculture: Protecting Crops from Frost: Farmers monitor the dew point. If the nighttime temperature is expected to drop to the dew point, dew will form on the plants. If that temperature is 0°C or below, frost will form, which can burn and destroy crops. Pesticide Application: Some treatments are most effective when leaves are wet with dew, while others require them to be dry. How Does Our Calculator Work? Our tool uses the Magnus-Tetens formula, a widely accepted and accurate scientific approximation for determining the dew point. You simply need to enter two values, which you can obtain from any local weather service: Air Temperature (°C) Relative Humidity (%) With this data, the calculator applies the formula and provides you with the result instantly, along with an interactive graph that allows you to visualize how the dew point varies as humidity changes, giving you a deeper understanding of the relationship between these variables. Use our calculator to make more informed decisions, improve the comfort of your home, and better understand the world around you. Technical Explanation From a more technical perspective, the dew point (Td) is the temperature to which an air mass, at constant barometric pressure, must cool to reach water vapor saturation. Once this temperature is reached, the rate of condensation of water vapor equals the rate of evaporation, resulting in the formation of liquid water, known as dew. To fully understand this, we must consider two key concepts: Partial Pressure of Water Vapor (e): Air is not a single substance, but rather a mixture of gases (nitrogen, oxygen, etc.), including water vapor. The pressure exerted by water vapor alone within that mixture is known as its partial pressure. This pressure is directly related to the number of water molecules in a given volume of air. Saturation Vapor Pressure (s): For any given temperature, there is a maximum amount of water vapor that the air can hold. The pressure exerted by this maximum water vapor is called the saturation vapor pressure. This saturation pressure is not constant; it increases exponentially with temperature, meaning warm air has a much greater capacity to retain moisture than cold air. The fundamental relationship is this: The dew point is the temperature at which the saturation vapor pressure (es) becomes equal to the current partial pressure of water vapor (e). In other words: Relative Humidity (RH): This is the ratio of the current vapor pressure to the saturation vapor pressure at the current temperature: Dew Point (Td): This is the temperature at which the current vapor pressure (e) would be the saturation pressure. The Magnus-Tetens Formula The calculator uses an empirical approximation known as the Magnus-Tetens formula to solve this relationship. The formula first calculates the saturation vapor pressure at the current temperature (T) and then uses relative humidity (RH) to find the current vapor pressure (e). The formula is expressed as follows: Where: Td is the dew point. a (17.625) and b (243.04 °C) are the Magnus coefficients, empirical constants derived for water vapor over liquid water. α(T,RH) is an intermediate term representing the logarithm of the current water vapor pressure, calculated as: This equation reveals that the dew point depends nonlinearly (exponentially) on temperature and humidity. Unlike relative humidity (which varies with temperature), the dew point is an absolute measure of the water vapor content in the air. Under stable pressure conditions, it will remain constant even if the temperature changes, as long as the amount of water vapor in the air mass remains unchanged.

  • Calculadora de distancia entre coordenada cartesianas 3D | AxoTek

    Calcula la distancia entre múltiples puntos en coordenadas cartesianas (X, Y, Z) de forma rápida y precisa. Herramienta interactiva online para metrología, física y tecnología. 3D Coordinate Distance Calculator | XYZ Visit our menu for more articles and information... Calculate the distance between multiple points in Cartesian coordinates (X, Y, Z) quickly and accurately with our 3D calculator. Ideal for mathematicians, engineers, students and professionals who need to measure distances in three-dimensional space. Simply enter the number of points, their coordinates and get instant results. Perfect for applications in geometry, physics, 3D modeling and computer graphics. Save time with an intuitive and efficient tool designed to make complex calculations easy. Have you ever wondered how a GPS knows exactly where you are, or how engineers design complex structures with pinpoint accuracy? The answer lies in a fundamental mathematical concept: coordinates. Our Distance Calculator is a powerful tool that uses this system to measure the space between multiple points in a three-dimensional environment. But to get the most out of it, it's helpful to understand exactly what those coordinates (X, Y, Z) you're entering are. What Are Cartesian Coordinates (X, Y, Z)? Imagine you want to tell a friend the location of a treasure in an empty room. It's not enough to simply tell them "it's over there." You need a reference system. Cartesian coordinates are precisely that: a universal "map" for defining the exact position of any point in space. In a three-dimensional world like ours, this map is made up of three axes: X Axis (Right - Left): Think of this axis as moving horizontally. It's the first number in your coordinate system and tells you how many steps to take to the right (if positive) or to the left (if negative) from a point of origin (point 0). Y Axis (Forward - Backward): This is the second number. Once you've moved along the X axis, the Y axis tells you how many steps to take forward (positive) or backward (negative). With X and Y, you can now locate any point on a plane, just like on a traditional map. Z Axis (Up - Down): This is where we enter the third dimension. The Z axis is the third number and represents height. It tells you how many steps to take up (positive) or down (negative). By combining these three axes (X, Y, Z), you can describe the precise location of any object in space. For example, the point (4, 5, 3) means: "From the origin, move 4 units to the right, 5 units forward, and 3 units up." Cartesian vs. Geographic Coordinates: A Key Difference It's very important to understand that the coordinates (X, Y, Z) used by our calculator are Cartesian. They work perfectly for measuring distances in defined and relatively small spaces, such as a construction site, the design of a mechanical part, or a 3D model. However, these coordinates are not the same as the geographic coordinates (latitude and longitude) used by a GPS. Geographic Coordinates (Latitude, Longitude): These are a spherical coordinate system designed to locate points on the Earth's curved surface. They are measured in degrees, not meters or feet. Cartesian Coordinates (X, Y, Z): These assume a flat space. Trying to use these coordinates to measure large distances on Earth (such as between two cities) would give an incorrect result, as they don't take into account the planet's curvature. In short: Use our calculator for engineering, surveying, design, or any system where you can establish a local point of origin. Calculating geographic distances based on latitude and longitude requires different, more complex formulas (such as the Haversine formula). How Does Our Tool Calculate Distance? When you enter two or more points into our calculator, it applies an extension of the famous Pythagorean Theorem to three-dimensional space. In school, we learned that for a right triangle, a² + b² = c². Our calculator does something similar, but with three dimensions, to find the straight-line distance (the shortest possible route) between each pair of consecutive points. It then adds these distances together to give you the total length of the route. The generated 3D graph allows you to visualize this route in space, giving you an intuitive view of the trajectory and the position of your points, especially useful for coordinates obtained from total stations. The basic formula the calculator uses is to find the straight-line distance between two points in three-dimensional space. If you have: Point 1 with coordinates (x1,y1,z1) Point 2 with coordinates (x2,y2,z2) The formula for distance (d) is:

  • 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.

  • 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

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