Radial Acceleration Formula

The following formula is used to determine a radial acceleration using tangential velocity and radius.

radial acceleration formula


Radial Acceleration Definition

A radial acceleration is the rate of angular acceleration. It’s based on the tangential velocity and distance from the center of a rotating object.


Example

The following is an example of how to calculate the radial acceleration of a rotating object.

  1. First, determine the tangential velocity of the rotating object. For this example we will say the object is moving at 20 m/s.
  2. Next, determine the radius of rotating. Using some form of measurement it’s found that the radius of rotation is 100m.
  3. Finally, calculate the radial acceleration of the object using the formula above. So, a = 20^2/100 = 4 rad/s^2

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