Question

A wheel rotates with a constant angular velocity of 10 rad per second.

A, compute the Radial acceleration of a point 0.5m from the axis

B, find the tangential velocity at that point

Answer 1

The radial acceleration of a point:

$$a=\omega^2r=(10)^2(0.5)=50\frac{m}{s^2}$$

The  tangential velocity at that point:

$$v=\omega r=(10) (0.5)=5\frac{m}{s }$$