Question

A fan blades start from rest and move with a constant angular acceleration and reaches an angular speed of 14.0rad/s.find (a) the magnitude of the angular acceleration of the wheel

(B) the angle (in radians) through which it rotates in this time.

Answer 1

(a) the magnitude of the angular acceleration of the wheel:

$$\alpha=\Delta \omega/t=(14-0)/t=14/t\text{ rad/s}^2.$$

Substitute time to get the answer.

(B) the angle (in radians) through which it rotates in this time:

$$\phi=\omega t/2=7t\text{ rad}.$$

Substitute time to get the answer.