A body is vibrating with simple harmonic motion of amplitude 15 cm and frequency 4 Hz . Calculate the maximum value of acceleration and velocity .
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Given ,
Amplitude of vibration (A) = 0.15 m
Frequency of vibration (f) = 4 HZ
Maximum value of acceleration (amax) =?
Maximum value of velocity (vmax) = ?
we have ,
vmax = ωA = (2πf)xA = (2πx4) x0.15
= 2πx4x0.15 =3.77/s
amax = ω2A = (2πf)2.A =(2πx4)2x0.15 = 94.75m/s2