1) The tape in a videotape cassette has a total length 187 m and can play for 1.7 h. As the tape starts to play, the full reel has an outer radius of 36 mm and an inner radius of 12 mm. At some point during the play, both reels will have the same angular speed. What is this common angular speed? Answer in units of rad/s.
2) The driver of a car traveling at 20 m/s applies the brakes and undergoes a constant deceleration of 2.64 m/s 2 . How many revolutions does each tire make before the car comes to a stop, assuming that the car does not skid and that the tires have radii of 0.32 m? Answer in units of rev.
3) An amusement park ride consists of a rotating circular platform 7.7 m in diameter from which 10 kg seats are suspended at the end of 3.72 m massless chains. When the system rotates, the chains make an angle of 16.5 ◦ with the vertical. The acceleration of gravity is 9.8 m/s 2 What is the speed of each seat? Answer in units of m/s.
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