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Beat Frequency

If the displa...

Question

If the displacement of a particle executing SHM is given by y = 0.30 sin ( 220t + 0.64 ) in metre, then the frequency and maximum velocity of the particle is

[AFMC 1998]

35 Hz, 66 m / s

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45 Hz, 66 m / s

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58 Hz, 113 m / s

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35 Hz, 132 m / s

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Solution

The correct option is A
35 Hz, 66 m / s

n = $\frac{ω}{2 π} = \frac{220}{2 π} = 35 H z .$

$v_{m a x} = ω a = 220 \times 0.30 m / s = 66 m / s$

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