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 8.16 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 6.35 rev/s.(a) which rate of rotation gives the greater speed for the ball? 6.35 8.16 (b) what is the centripetal acceleration of the ball at 8.16 rev/s? m/s2(c) what is the centripetal acceleration at 6.35 rev/s? m/s2

(a) Ball with 6.35 rev/sec gives greater speed

(b) So centripetal acceleration of ball with rotation 8.16 m/sec

So centripetal acceleration of ball with rotation 6.35 m/sec

Explanation:

(a) In first case angular speed rev/sec and length of the chain = 0.8 m

So velocity

In second case angular speed angular speed and length of the chain that is r = 0.6 m

So velocity

So 6.35 rev/sec gives greater speed

(b) Centripetal acceleration is given by

So centripetal acceleration of ball with rotation 8.16 m/sec

So centripetal acceleration of ball with rotation 6.35 m/sec

multiple

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas