The maximum velocity of a particle executing simple harmonic motion with an amplitude 7mm, is 4.4 m/s. The period of oscillation is :

The maximum velocity of a particle executing simple harmonic motion with an amplitude 7mm, is 4.4 m/s. The period of oscillation is :

A
0.1 sec
B
100 sec
C
0.01 sec
D
10 sec

Solution:

$v_{\max} = aω = a (\frac{2 π}{T}) \Rightarrow T = \frac{2 πa}{v_{\max}} = \frac{2 \times 3.14 \times 7 \times 10^{- 3}}{4.4} = 0.01 s$

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