Velocity Magnitude Calculator

Calculate the magnitude of velocity vector using its components

Input Parameters

Calculation Results

Calculation Formula

v = √(vx² + vy² + vz²)

Where:
v = velocity magnitude
vx = velocity in X-direction
vy = velocity in Y-direction
vz = velocity in Z-direction

Result

Velocity Magnitude (v): 0.00 m/s

Velocity Magnitude Calculator Calculator Usage Guide

Learn how to use the Velocity Magnitude Calculator and its working principles

How to Use the Calculator

  1. Enter the velocity components in the X, Y, and Z directions in meters per second (m/s).
  2. Click the "Calculate" button to compute the velocity magnitude.
  3. The result will be displayed in meters per second (m/s).
  4. Use the "Reset" button to clear all inputs and start over.

Working Principle

The velocity magnitude is calculated using the Pythagorean theorem in three dimensions. For a velocity vector with components vx, vy, and vz, the magnitude is given by:

v = √(vx² + vy² + vz²)

This formula gives the straight-line distance from the origin to the point (vx, vy, vz) in velocity space, representing the actual speed of the object.

Applications

This calculator is useful in physics and engineering for:

  • Calculating the speed of moving objects in 3D space
  • Analyzing fluid flow patterns
  • Computing projectile motion parameters
  • Engineering applications involving 3D velocity vectors