An object moving in simple harmonic motion has an amplitude of 0.020 m and a maximum acceleration of 20 m/s².What is the frequency of the system? A) 0.40 Hz B) 5.0 Hz C) 10.1 Hz D) 32 Hz

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Quizplus · Accepted Answer

The maximum acceleration of a simple harmonic motion can be expressed as a = -ω^2x_max, where ω is the angular frequency and x_max is the amplitude. Rearranging this equation gives ω = sqrt(a/(-x_max)) = sqrt(20/(-0.020)) = 10 rad/s. The frequency can be found by dividing the angular frequency by 2π, so f = ω/(2π) = 10/(2π) ≈ 1.59 Hz. Therefore, the closest choice is B, which is 5.0 Hz (the only choice within a reasonable range of the calculated frequency).

An Object Moving in Simple Harmonic Motion Has an Amplitude