Chapter 10. Uniform Circular Motion

Centripetal Acceleration
10-1. A ball is attached to the end of a 1.5 mstring and it swings in a circle with a constant speed of 8 m/s. What is the centripetal acceleration?
[pic] ac =42.7 m/s2

10-2. What are the period and frequency of rotation for the ball in Problem 10-1?
[pic]; T = 1.18s
[pic]; f = 0.849 rev/s

10-3. A drive pulley 6-cm in diameter is set to rotate at 9 rev/s. What is thecentripetal acceleration of a point on the edge of the pulley? What would be the linear speed of a belt around thepulley? [ R = (0.06 m/2) = 0.03 m ]
[pic]; ac = 95.9 m/s2
[pic]; v =1.70 m/s

10-4. An object revolves in a circle of diameter 3 m at a frequency of 6 rev/s. What is the period ofrevolution, the linear speed, and the centripetal acceleration? [ R = (3 m/2) = 1.5 m ]
[pic]; T = 0.167 s ;[pic]; v = 56.5 m/s
[pic]; ac = 2130 m/s2
10-5. A car moves around a curve 50 m in radius and undergoes acentripetal acceleration of 2 m/s2. What is its constant speed?
[pic]; v = 10.0 m/s

10-6. A 1500-kg car [continua]

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