1)An athlete swings a ball, connected to the end of a chain, in a horizontal cir

Question

1)An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 7.73 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.58 rev/s.

(a) Which rate of rotation gives the greater speed for the ball?

(b) What is the centripetal acceleration of the ball at 7.73 rev/s?

(c) What is the centripetal acceleration at 6.58 rev/s?

2)This figure

An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 7.73 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.58 rev/s. Which rate of rotation gives the greater speed for the ball? What is the centripetal acceleration of the ball at 7.73 rev/s? What is the centripetal acceleration at 6.58 rev/s?

Explanation / Answer

a) v = wr .58 gave greater speed.

b) ac = w^2r = (7.73 x 2 x pi)^2 x 0.6 = 1415.36 m/s2

c) ac = w^2r = (6.58 x 2 x pi)^2 x 0.9 = 1538.35 m/s2

a) radial a = 17.5cos30 = 15.15 m/s2

b) v^2/r = 15.15

v = 6.96 m/s

c) at = 17.5sin30 = 8.75 m/s2

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