Angular Acceleration Calculator
Calculate angular acceleration from change in angular velocity over time.
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.
Can't find what you need?
Request a ToolHow to Use the Angular Acceleration Calculator
Enter the initial angular velocity in radians per second, the final angular velocity, and the time interval. The calculator instantly computes the angular acceleration. Results update live as you type. Use the Share button to send a link with your values pre-filled.
About Angular Acceleration
Angular acceleration (alpha) describes how rapidly a rotating object speeds up or slows down. It is the rotational analog of linear acceleration. The SI unit is radians per second squared (rad/s2). Angular acceleration is related to torque through Newton's second law for rotation: torque = moment of inertia times angular acceleration. This relationship is fundamental in analyzing rotating machinery, wheels, gears, and planetary motion.
Frequently Asked Questions
What is angular acceleration?
Angular acceleration measures how quickly an object's rotational speed changes. It is the rate of change of angular velocity, measured in radians per second squared (rad/s2).
How does angular acceleration relate to linear acceleration?
Linear (tangential) acceleration equals angular acceleration times the radius: a = alpha x r. An object farther from the axis of rotation experiences greater linear acceleration for the same angular acceleration.
Can angular acceleration be negative?
Yes. Negative angular acceleration means the object is slowing its rotation (angular deceleration). This occurs when the final angular velocity is less than the initial angular velocity.