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Chapter 10: Problem 20
A \(320-\mathrm{N}\) frictional force acts on the rim of a 1.0 -m-diameter wheel to oppose its rotational motion. Find the torque about the wheel's central axis.
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A skater's body has rotational inertia \(4.2 \mathrm{kg} \cdot \mathrm{m}^{2}\) with his fists held to his chest and \(5.7 \mathrm{kg} \cdot \mathrm{m}^{2}\) with his arms outstretched. He's twirling at 3.1 rev/s while holding 2.5 -kg weights in each outstretched hand; the weights are \(76 \mathrm{cm}\) from his rotation axis. If he pulls his hands to his chest, so the weights are essentially at his rotation axis, how fast will he be rotating?
A wheel turns through 2.0 revolutions while accelerating from rest at \(18 \mathrm{rpm} / \mathrm{s}\). (a) What's its final angular speed? (b) How long does it take?
You're an engineer designing kitchen appliances, and you're working on a two- speed food blender, with 3600 rpm and 1800 rpm settings. Specs call for the blender to make no more than 60 revolutions while it's switching from high to low speed. If it takes \(1.4 \mathrm{s}\) to make the transition, does it meet its specs?
A 55 -g mouse runs out to the end of the 17 -cm-long minute hand of a grandfather clock when the clock reads 10 past the hour. What torque does the mouse's weight exert about the rotation axis of the clock hand?
A merry-go-round starts from rest and accelerates with angular acceleration \(0.010 \mathrm{rad} / \mathrm{s}^{2}\) for \(14 \mathrm{s}\). (a) How many revolutions does it make during this time? (b) What's its average angular speed?
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