Calculadora de Velocidade Angular
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
ω = θ/t; v = ω·r
About this calculator
The angular velocity calculator determines how fast an object rotates around an axis. It calculates the average angular velocity (ω) from the angle traveled (θ) and the time taken (t), using the formula ω = θ/t. The angle can be entered in degrees or radians, and the result is given in rad/s or deg/s. Additionally, the tool converts angular velocity to linear velocity (v) when the radius (r) is provided, applying v = ω·r.
Operation is straightforward: the user inputs the angular displacement, time, and optionally the radius. The calculator performs necessary conversions and displays results instantly. For example, if a wheel rotates 180° in 2 seconds, the angular velocity is 90°/s (or π/2 rad/s). If the radius is 0.5 m, the linear velocity at the edge is approximately 1.57 m/s. This tool is useful for students, engineers, and physics enthusiasts.
Use this calculator in practical scenarios such as analyzing pulleys, gears, fans, vehicle wheels, or any rotating system. It helps understand the relationship between rotation and translation, essential in mechanical design, kinematics, and dynamics. For instance, when sizing a motor, knowing angular and linear velocity aids in selecting appropriate components.
Important precautions: ensure consistent units. The angle must be in the same system (degrees or radians) throughout the calculation. Remember that the formula ω = θ/t gives average angular velocity, not instantaneous. For accelerated motion, angular acceleration concepts are needed. Also, conversion to linear velocity is valid only for uniform circular motion without slipping.
Frequently asked questions
Can I use degrees and radians in the same input?
No, keep units consistent. If you enter the angle in degrees, select degrees; if in radians, choose radians. Mixing units may lead to incorrect results.
What is the difference between angular and linear velocity?
Angular velocity measures the rate of change of angle (rotation), while linear velocity measures the rate of change of position along a path. They are related by v = ω·r, where r is the radius.
Does the calculator work for accelerated motion?
It calculates average angular velocity, not instantaneous. For angular acceleration, you would need a specific calculator that considers velocity change over time.
What does the result in radians per second mean?
Radians per second (rad/s) is the SI standard unit for angular velocity. One radian is the angle corresponding to an arc length equal to the radius. For example, 2π rad/s equals one full rotation per second.
Can I calculate the angular velocity of a pendulum?
Yes, as long as you measure the angular displacement and time. However, for simple pendulums, angular velocity varies with time, so the result will be the average over the interval.