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An athlete swings a ball, connected to the end of a chain, in a horizontal circl

ID: 1311237 • Letter: A

Question

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 7.27 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 6.21 rev / s. Which rate of rotation gives the greater speed for the ball? What is the centripetal acceleration of the ball at 7.27 rev / s? What is the centripetal acceleration at 6.21 rev / s? This figure represents the total acceleration of a particle moving clockwise in a circle of radius r = 2.20 m at a certain instant of time. For that instant, find the radial acceleration of the particle. For that instant, find the speed of the particle. For that instant, find its tangential acceleration.

Explanation / Answer

Q1. a) 6.21

b)1251.93 m/s^2

c) 1370.20 m/s^2

Q2. a) 9.526 m/s^2

b) 4.578 m/s

c) 5.5 m/s^2