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A Ferris wheel rotates because a motor exerts a torque on the wheel. The radius of the London Eye, a huge observation wheel on the banks of the Thames, is 67.5 m and its mass is
kg. The cruising angular speed of the wheel is
. (a) How much work does the motor need to do to bring the stationary wheel up to crushing speed?
Imagine an outdoor game of baseball at Lunar Stadium.
a) The center field wall is about 400 feet from home plate at a baseball park on Earth. Explain what the appropriate distance for the centerfield wall would be at Lunar Stadium. Use equations and numbers to explain your answers.
b) Other aspects of baseball might be different on the Moon.
- Should the pitcher's mound and the bases at Lunar Stadium be located at the same or different distances from home plate as on Earth? Explain your answer.
- How fast would a major-league pitcher capable of a "Earth pitch" be able to throw the ball on the Moon? Explain your answer.
- How fast would players be able to run the bases on the Moon? Why?
c) Describe the problems fans in the center field bleachers might have:
- seeing a player slide into second base or home plate
- watching a high-fly ball
- eating a hot dog
- shouting at the umpire
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