The rotor of an electric motor has an angular velocity of

Chapter 16, Problem 16.25

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The rotor of an electric motor has an angular velocity of 3600 rpm when the load and power are cut off. The 50-kg rotor, which has a centroidal radius of gyration of 180 mm, then coasts to rest. Knowing that kinetic friction results in a couple of magnitude \(3.5\mathrm{\ N}\cdot\mathrm{m}\) exerted on the rotor, determine the number of revolutions that the rotor executes before coming to rest.

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