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`|a| = | "v" |^2/ "r" `

Enter a value for all fields

The **Centripetal Acceleration** calculator computes the centripetal acceleration*Circular Motion* which is the acceleration directed toward the center of a circular motion with constant angular velocity.

**INSTRUCTION:** Choose units and enter the following:

- |
**v**| - magnitude of the tangential velocity - (
**r**) - radius of the constant circular motion

**Magnitude of Centripetal Acceleration |a|:** The calculator the acceleration in meters per second squared. However, the user can automatically convert this to other acceleration units via the pull-down menu.

Note than if a mass is moving in this circular motion and is affected by this acceleration due to changing angular velocity, that mass will feel a force along the vector direction of `vec(a_"rad")`.

The formula for the magnitude of acceleration in uniform circular motion is:

`|a| = |v|^2/r`

where:

- a = acceleration in uniform circular motion.
- v = magnitude of tangential velocity
- r = radius of circular motion

- Angular Frequency as a function of orbital period,
**CLICK HERE**. - Speed of Circular Motion as a function of orbital period and radius,
**CLICK HERE**. - Radial Acceleration as a function of orbital period and radius,
**CLICK HERE**. - Acceleration in non-uniform Circular Motion,
**CLICK HERE**.

- Light and Matter(Dr. Benjamin Crowell) Chapter 9.2 Uniform circular motion
- Light and Matter(Dr. Benjamin Crowell) Chapter 9.3 Non-uniform circular motion