An object moving in simple harmonic motion has an amplitude of 0.020 m and a maximum acceleration of 40 m/s².What is the frequency of the system? A)0.60 Hz B)51 Hz C)7.1 Hz D)16 Hz

Question

Quizplus · Accepted Answer

The maximum acceleration (a_max) of an object in simple harmonic motion is given by: 
a_max = 2πfA 
where f is the frequency of the motion and A is the amplitude.

Rearranging this formula gives: 
f = a_max / (2πA)

Substituting the given values, we get: 
f = 40 / (2π × 0.020) = 7.1 Hz

Therefore, the correct answer is C.

An Object Moving in Simple Harmonic Motion Has an Amplitude