First slide

Simple hormonic motion

Question

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

Moderate

A

35 Hz, 66 m/s
B

45 Hz, 66 m/ s
C

58 Hz, 113 m/s
D

35 Hz, 132 m/s

Solution

$n = \frac{ω}{2 π} = \frac{220}{2 π} = 35 Hz$
$v_{max} = ωa = 220 \times 0 .30 {ms}^{- 1} = 66 {ms}^{- 1}$

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