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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 \(rad/s^3\).

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