An object moves in simple harmonic motion with period 8 minutes and amplitude 16 m. At time t = 0 minutes, its displacement d from rest is 0 m, and initially it moves in a positive direction. Give the equation modeling the displacement d as a function of time f.

jernplate8 2021-01-27 Answered
An object moves in simple harmonic motion with period 8 minutes and amplitude 16 m. At time t=0 minutes, its displacement d from rest is 0 m, and initially it moves in a positive direction. Give the equation modeling the displacement d as a function of time f.
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Jayden-James Duffy
Answered 2021-01-28 Author has 91 answers

Step 1 Equation modeling the diplacement d as function of time = A sin wt where A = amplitude and time period =2πw

Step 2 A=amplitude=16m

Period=8 minutes=8×60=480seconds=2πw

Hence, w=2π480=π240

Step 3 Hence, d=16sin(πt240)

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