Question

A simple harmonic motion is given by, x = 2.4 sin ( 4πt). If distances are expressed in cm and time in seconds, the amplitude and frequency of S.H.M. are respectively, 

Options

• 1.2 cm, 2 Hz

• 2.4 cm, 2 Hz

• 1.2 cm, 1 Hz

• 2.4 cm, 1 Hz

Answer 1

2.4 cm, 2 Hz

Explanation:

x = 2.4 sin ( 4πt)

Comparing with x = A sin ωt, we get

A = 2.4 cm, ω = 4π

∴ 2πn = 4π or n = 2 Hz