Question

A 1.1 kg ball is attached to a 1.35 m long string and whirled overhead in...

A 1.1 kg ball is attached to a 1.35 m long string and whirled overhead in a horizontal plane. The ball goes through 3 revolutions each second.

(a) The period of the ball's motion is s

(b) The ball's angular speed in radians per second is rad/s

(c) The ball's linear speed is m/s

(d) The ball's acceleration is m/s/s

(e) What force does the string exert on the ball? N

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Answer #1

Time period = time to complete one revolution = 1/3 seconds

Angual speed of ball = radian per second = 3*2π = 6π radian per sec

Linear speed = angular speed *radius = 6π*1.35 =25.45m/s

Ball acceleration = angular speed *angular speed*radius = 1.35*25.45=34.35 m/sec square

Force = m*acceleration = 1.1*34.35 = 37.8 N

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