Question

an electric fan is rotating at 3.0 rad/s when at time t=0 it begins to constantly accelerate at 2.00 rad/s^2. The initial linear acceleration of the edge of the spinning part of the fan has a magnitude of 1.30 m/s^2. What is the radius of the spinning part of the fan?

Answer 1

The linear acceleration $a$ is lincked with the angular one $\alpha$ as follows:

$$a = r\alpha$$

where $r$ is the radius of the circle. Thus, since $a= 1.3m/s^2, \alpha = 2rad/s^2$, obtain:

$$r = \dfrac{1.3}{2} = 0.650m$$

Answer. 0.650m.