JEE MAIN - Physics (2021 - 20th July Evening Shift - No. 27)
A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations made in the process is ___________.
Answer
200
Explanation
$${\omega _f} = {\omega _0} + \alpha t$$
$$\alpha = 1200 \times 6$$
$$\theta = {\omega _0}t + {1 \over 2}\alpha {t^2}$$
$$ = 600 \times {{10} \over {60}} + {1 \over 2} \times 1200 \times 6 \times {1 \over {36}}$$
$$\theta = 200$$
$$\alpha = 1200 \times 6$$
$$\theta = {\omega _0}t + {1 \over 2}\alpha {t^2}$$
$$ = 600 \times {{10} \over {60}} + {1 \over 2} \times 1200 \times 6 \times {1 \over {36}}$$
$$\theta = 200$$
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