Angular Velocity Calculator
Calculate angular velocity from angle/time or from frequency.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
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Request a ToolHow to Use the Angular Velocity Calculator
Select your calculation mode: from angle and time, or from frequency. For angle/time mode, enter the angle in radians and the time in seconds. For frequency mode, enter the frequency in Hz. The angular velocity is calculated instantly and displayed in rad/s.
About Angular Velocity
Angular velocity (omega) describes the rotational speed of an object and the axis about which it rotates. It is central to rotational mechanics and connects to linear velocity through the relationship v = omega x r. Every rotating object, from a spinning wheel to an orbiting satellite, has an angular velocity. The SI unit is radians per second, though RPM (revolutions per minute) is commonly used in engineering.
Frequently Asked Questions
What is angular velocity?
Angular velocity measures how fast an object rotates or revolves. It is defined as the rate of change of angular displacement, typically measured in radians per second (rad/s).
How do you convert RPM to rad/s?
Multiply RPM by 2 x pi / 60. For example, 60 RPM equals 2 x pi rad/s, or approximately 6.28 rad/s.
What is the difference between angular velocity and angular speed?
Angular speed is the magnitude of angular velocity. Angular velocity is a vector quantity that includes direction (clockwise or counterclockwise), while angular speed is a scalar.