If a simple harmonic motion is described by
,what is the period of oscillation and what is the maximum speed during the oscillation? Assume SI units.

Question

If a simple harmonic motion is described by 
,what is the period of oscillation and what is the maximum speed during the oscillation? Assume SI units.

Quizplus · Accepted Answer

The period of oscillation, T, is given by T = 2π/ω, where ω is the angular frequency. From the given expression, we can see that ω = 4π rad/s. Thus, T = 2π/4π = 0.5 s.

The maximum speed during the oscillation occurs at the amplitude, A, and is given by vmax = Aω. From the given expression, we can see that A = 0.03 m. Thus, vmax = Aω = 0.03 m x 4π rad/s = 0.12 m/s.

If a Simple Harmonic Motion Is Described by