Calculators
Angular Velocity Calculator
Solve for angular velocity, linear velocity, or radius using consistent units locally in your browser.
Choose what to solve for, then enter the other two values using consistent units (for example, metres per second with metres for radians per second). Calculations run locally in your browser; your values are not uploaded or stored.
Solve circular motion velocity without uploading your values.
Enter the linear velocity with radius to calculate angular velocity, the angular velocity with radius to calculate linear velocity, or the linear velocity with angular velocity to calculate radius, using consistent units, such as metres per second with metres for radians per second. The calculator applies angular velocity = linear velocity ÷ radius and shows the matching result locally without being uploaded or stored.
Frequently Asked Questions
Everything you need to know about this tool, how it works, and privacy.
Which formulas does the angular velocity calculator use?
It uses angular velocity = linear velocity / radius, linear velocity = angular velocity x radius, and radius = linear velocity / angular velocity. For example, 10 linear velocity units on a radius of 2 length units gives an angular velocity of 5 angular velocity units.
Which units should I use?
Use the same linear-velocity and radius units on both inputs, such as metres per second with metres for radians per second. The answer is reported in the matching combined angular velocity, linear velocity, or length unit.
Which inputs are accepted?
Enter values of zero or greater up to 1,000,000,000,000. Radius must be greater than zero when solving for angular velocity, and angular velocity must be greater than zero when solving for radius. Missing or non-numeric entries show a clear error instead of a result.
Do my values stay private?
Yes. The calculation and copy action run locally in your browser. CodeASystem does not upload or store the values you enter.