# Angular Velocity and Acceleration

A fan blade rotates with angular velocity given by $$\omega=\gamma-\beta t^2$$ where $$\gamma=5$$rad/s and $$\beta=0.800$$rad/s. Calculate the angular acceleration as a function of time.
Solution:

The angular acceleration is given by $$\alpha=\frac{d\omega}{dt}=-2Bt=(-1.60)t$$

The unit of angular acceleration will be $$rad/s^3$$.