Oscillations Ques 15

15. A particle executing S.H.M. has amplitude $0.01$ $ m$ and frequency $60$ $ Hz$. The maximum acceleration of the particle is

[1999]

(a) $144 \pi^{2}$ $ m / s^{2}$

(b) $120 \pi^{2}$ $ m / s^{2}$

(c) $80 \pi^{2}$ $ m / s^{2}$

(d) $60 \pi^{2}$ $ m / s^{2}$

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Answer:

Correct Answer: 15.(a)

Solution:

  1. (a) Amplitude $(A)=0.01 $ $m$, Frequency $=60 $ $Hz$

Maximum acceleration

$=A \omega^{2}=0.01 \times(2 \pi n)^{2}$

$=0.01 \times 4 \pi^{2} \times 60 \times 60=144 \pi^{2} $ $m / sec^{2}$