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Chapter 10: Q33P (page 289)
Calculate the rotational inertia of a wheel that has a kinetic energy of 24400 Jwhen rotating at 602rev/min.
Rotational inertia of a wheel is, l = 12.3 kg.m2.
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Figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of and a mass of and is initially at rest. Starting at time , two forces are to be applied tangentially to the rim as indicated, so that at time the disk has an angular velocity of counterclockwise. Force has a magnitude of . What is magnitude ?
A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. The pulsar in the Crab nebula has a period of rotation of that is increasing at the rate of .
(a) What is the pulsar鈥檚 angular acceleration ?
(b) If is constant, how many years from now will the pulsar stop rotating?
(c) The pulsar originated in a supernova explosion seen in the year .Assuming constant a, find the initial T.
Figure 10 - 26shows a uniform metal plate that had been square before 25 %of it was snipped off. Three lettered points are indicated. Rank them according to the rotational inertia of the plate around a perpendicular axis through them, greatest first.
Four particles, each of mass, , are placed at the vertices of a square with sides of length. The particles are connected by rods of negligible mass. This rigid body can rotate in a vertical plane about a horizontal axis A that passes through one of the particles. The body is released from rest with rod AB horizontal (Fig.). (a) What is the rotational inertia of the body about axis A? (b) What is the angular speed of the body about axis A when rod AB swings through the vertical position?
Betweenand, the top of the leaning bell tower at Pisa, Italy, moved toward the south at an average rate of. The tower is tall. In radians per second, what is the average angular speed of the tower鈥檚 top about its base?
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