Question

Two simple Harmonic Motions of angular frequency 100 and 1000 rad s–1 have the same displacement amplitude. The ratio of their maximum accelerations is -

Answer 1

Maximum accceleration of Simple Harmonic Motion is defined as

Maximum acceleration = -A * w^2

A – Amplitude Displacement (Same for both)

w – Angular fequency (100 for first, 1000 for second).

w1 = 100 rad /sec

w2 = 1000 rad/sec

Ratio of  accelerations = a1 / a2  = (A *(w1)^2) / (A * (w2)^2)

= 100*100/(1000 * 1000) = 1/100

Ratio of their maximmum acceleration  = 1/100

Answer 2

Answer:

1:10^2

Explanation:

refer the attachment.