Q.

A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is

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a

5.65 m​/​s and 5.32×102m​/​s2

b

6.82 m​/​s and 7.62×102m​/​s2

c

8.91 m​/​s and 8.21×102m​/​s2

d

9.82 m​/​s and 9.03×102m​/​s2

answer is A.

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Detailed Solution

Velocity  v=aω=a×2π n=0.06×2π×15=5.65 m/s Acceleration  A=ω2a=4π2n2a=5.32×102 m/s2
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