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?Select one:a. 2π/ωb. ω/2πc. 2πωd. ω^2e. ω
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?Select one:a. 2π/ωb. ω/2πc. 2πωd. ω^2e. ω
Solution
The period of the motion is given by the reciprocal of the angular frequency. In this case, the angular frequency is ω. Therefore, the period T is given by T = 2π/ω. So, the correct answer is a. 2π/ω.
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