University Physics Volume 1

18th Edition

ISBN: 9781938168277

Author: William Moebs, Samuel J. Ling, Jeff Sanny

Publisher: OpenStax - Rice University

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The planet Earth orbits around the Sun and also spins around its own axis. Calculate the ^{2}/s

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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions

Calculate the angular velocity of Earth.

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Two children (m = 30.0 kg each) stand opposite each otheron the edge of a merry-go-round. The merry-go-round, whichhas a mass of 1.80 102 kg and a radius of 1.5 m, is spinningat a constant rate of 0.50 rev/s. Treat the two children and themerry-go-round as a system. a. Calculate the angular momentum of the system, treating each child as a particle. b. Calculatethe total kinetic energy of the system. c. Both children walkhalf the distance toward the center of the merry-go-round. Calculate the final angular speed of the system.

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A solid sphere and a hollow sphere have the same mass and radius. They are rotating with the same angular speed. Which is the one with the higher angular momentum? (a) the solid sphere (b) the hollow sphere (c) both have the same angular momentum (d) impossible to determine

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Two astronauts (Fig. P8.80), each haring a mass of 75.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.00 m/s. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum and (b) the rotational energy of the system. By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? (d) What are their new speeds? (e) What is the new rotational energy of the system? (f) How much work is done by the astronauts in shortening the rope? Figure P8.80 Problems 80 and 81

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Andrea and Chuck are riding on a merry-go-round. Andrea rides on a horse at the outer rim of the circular platform, twice as far from the center of the circular platform as Chuck, who rides on an inner horse. When the merry-go-round is rotating at a constant angular speed, Andreas angular speed is (a) twice Chucks (b) the same as Chucks (c) half of Chucks (d) impossible to determine.

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Suppose a child walks from the outer edge of a rotating merry-go-round to the inside. Does the angular velocity of the merry-go-round increase, decrease, or remain the same? Explain your answer. Assume the merry-go-round is spinning without friction.

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When the merry-go-round of Quick Quiz 7.4 is rotating at a constant angular speed, Andreas tangential speed is (a) twice Chucks (b) the same as Chucks (c) half of Chucks (d) impossible to determine.

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A stick of length 1.0 m and mass 6.0 kg is free to rotate about a horizontal axis through the center. Small bodies of masses 4.0 and 2.0 kg are attached to its two ends (see the following figure). The stick is released from the horizontal position. What is the angular velocity of the stick when it swings through the vertical?

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A carnival carousel accelerates nonuniformly from rest, moving through an angle of 8.60 rad in 6.00 s. If its turning at 3.30 rad/s at that time, find (a) its average angular speed, and (b) average angular acceleration during that time interval. (See Section 7.1.)

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If you know the velocity of a particle, can you say anything about the particle’s angular momentum?

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A basketball player entertains the crowd by spinning a basketball on his nose. The basketball has a mass of 0.600 kg and a radius of 0.121 m. If the basketball is spinning at a rate of 3.00 revolutions per second, (a) what is its rotational kinetic energy? (See Section 8.6.) (b) What is the magnitude of its angular momentum? Treat the ball as a thin, spherical shell. (See Section 8.7.)

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The angular velocity of a flywheel with radius 1.0 m varies according to (t)=2.0t . Plot ac(t) and at(t) from t=0 to 3.0 s for r=1.0m . Analyze these results to explain when acat and when acat for a point on the flywheel at a radius of 1.0 m.

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