Angular Velocyty Calculator
Calculate angular velocity from angle change and time, or from linear velocity and radius. Supports radians and degrees.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator computes angular velocity (ω) using two methods. Follow the steps below:
- Select a method from the dropdown:
- From Angle Change & Time – uses Δθ and time.
- From Linear Velocity & Radius – uses linear speed and radius.
- Enter the required values:
- For angle method: Angle change (Δθ) in radians or degrees, and time (t) in seconds (must be > 0).
- For linear method: Linear velocity (v) in m/s, and radius (r) in meters (must be > 0).
- Click "Calculate" – the result appears below with the formula used.
Output: Angular velocity (ω) in rad/s, rounded to 4 decimal places. The formula is shown for verification.
Note: All inputs use metric units (radians or degrees, seconds, m/s, meters). Ensure time and radius are positive numbers.
Previous Results
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Frequently Asked Questions
Angular velocity measures how fast an object rotates or revolves relative to another point, typically the center of a circle. It is usually expressed in radians per second (rad/s).
Angular velocity ω can be calculated from linear velocity v and radius r using the formula ω = v / r, provided v is tangential velocity and r is the radius of the circular path.
The calculator supports both radians and degrees for angle input. Results are always given in radians per second (rad/s). For linear velocity, input is in m/s and radius in meters.