The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in

Question

The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in $	ext{rad/s}^2$ is

Accepted Answer

Angular acceleration $\alpha = \frac{\Delta \omega}{t}$. Initial angular velocity $\omega_1 = 1200 	imes \frac{2\pi}{60} 	ext{ rad/s}$. Final angular velocity $\omega_2 = 3120 	imes \frac{2\pi}{60} 	ext{ rad/s}$. $\alpha = \frac{(3120 - 1200)}{16} 	imes \frac{2\pi}{60} = 4\pi 	ext{ rad/s}^2$.

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