Motion In A Plane Ques 42
42. A particle moves in a circle of radius $5$ $ cm$ with constant speed and time period $0.2 $ $\pi s$. The acceleration of the particle is
[2011]
(a) $15 $ $m / s^{2}$
(b) $25 $ $m / s^{2}$
(c) $36 $ $m / s^{2}$
(d) $5 $ $m / s^{2}$
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Answer:
Correct Answer: 42.(d)
Solution:
- (d) Centripetal acceleration $a_c=\omega^{2} r$
$=(\frac{2 \pi}{T})^{2} r=(\frac{2 \pi}{0.2 \pi})^{2} \times 5 \times 10^{-2}=5 $ $m / s^{2}$