# Change in magnitude of radial acceleration

1. Jan 20, 2013

### alexmahone

1. The problem statement, all variables and given/known data

A wheel changes its angular velocity with a constant angular acceleration while rotating about a fixed axis through its center. Show that the change in the magnitude of the radial acceleration during any time interval of a point on the wheel is twice the product of the angular acceleration, the angular displacement, and the perpendicular distance of the point from the axis.

2. Relevant equations

$$a_r=\omega^2 r$$

3. The attempt at a solution