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:

  1. (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 $ $m / s^{2}$