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Angular Velocity and Acceleration

Try this problem based on Angular Velocity and Acceleration, useful for Physics Olympiad.

The Problem:

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).

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