Consider a situation of simple harmonic motion in which the distance between the endpoints is 2.95 m and exactly 7 cycles are completed in 20.2 s. When this motion is viewed as a projection of circular motion, what is the radius, r, and angular velocity, ω, of the circular motion?

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Consider a situation of simple harmonic motion in which the distance between the endpoints is 2.95 m and exactly 7 cycles are completed in 20.2 s. When this motion is viewed as a projection of circular motion, what is the radius, r, and angular velocity, ω, of the circular motion?

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Step 1

The simple harmonic motion between the two endpoints traces the diameter of the circle. If d is the diameter of the circle, then it is given as follows.

Advanced Physics homework question answer, step 1, image 1

The radius r of the circle is thus can be evaluated as follows.

Advanced Physics homework question answer, step 1, image 2

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