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  • 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 rad/<img alt="s^{2}" src="/latex-image/?s

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 rad/s^{2} is:
 

Option: 1

4\pi


Option: 2

12\pi


Option: 3

104\pi


Option: 4

2\pi


Answers (1)

best_answer

\begin{aligned} & \omega _{\text {initial }} =1200 \mathrm{rpm}=1200 \times \frac{2 \pi}{60} \\ &=40 \pi \frac{\mathrm{rad}}{\mathrm{s}} \\ & \omega_{\text {final }} =3120 \mathrm{rpm}=3120 \times \frac{2 \pi}{60} \\ &=104 \pi \end{aligned} \\ \text{Angular acceleration} =\frac{\omega_{\text {final }} -\omega_{\text {initial }}}{\Delta t}\\ \begin{aligned} (\alpha) &=\frac{104 \pi-40 \pi}{16} \\ &=\frac{64 \pi}{16}=4 \pi \frac{\mathrm{rad}}{\mathrm{s}^{2}} \end{aligned}

 

Posted by

Gaurav

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