AP PHYSICS shm question multiple choice

Question

An object moves up and down the y-axis with an acceleration given as a function of time t by the expression a = A sin ωt, where A and ω are constants. What is the period of this motion?

1. Answer A: ω
2. Answer B: 2πω
3. Answer C: ω²A
4. Answer D: 2π/ω
5. Answer E: ω/2π

Answer 1

Hey Tapti -

The period of a sine function is typically 2*π when there is no coefficient in front of your variable. So, if ω = 1, the answer would just be 2π. As ω increases, period decreases, so if ω is instead 2, the period becomes π. Hopefully this gets you to the answer.