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Unformatted text preview: PHY2053 RECITATIONS, SPRING 2011 Recitation 10 (Chapter 8) Mar. 28-Apr. 1 Ch. 8 # 12, 25, 37, 54, 58 Ch. 8 # 12. A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the drawing. As the station rotates, an astronaut in chamber A is moved 2.40 10 2 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time? REASONING AND SOLUTION The angular displacements of the astronauts are equal. For A = s A / r A For B = s B / r B Equating these two equations for and solving for s B gives s B = ( r B / r A ) s A = [(1.10 10 3 m)/(3.20 10 2 m)](2.40 10 2 m) = 825 m Ch. 8 # 25. A person is riding a bicycle, the wheels of a bicycle have an angular velocity of +20.0 rad/s. Then, the brakes are applied. In coming to rest, each wheel makes an angular displacement of +15.92 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the angular acceleration of each wheel? REASONING a. The time t for the wheels to come to a halt depends on the initial and final velocities, and , and the angular displacement...
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