UNIFORM CIRCULAR MOTION
UNIFORM CIRCULAR MOTION
1. A rubber ball moves in a circular path of radius 1m. It makes two revolutions per second.
Calculate:
a) period of revolution
b) speed of the ball
c) centripetal acceleration
2. A stone is attached to a string 1.00m long, and is twirled in a circle at a rate of 15 revolutions in 20 seconds. Calculate the centripetal acceleration acting on the stone.
3. A phonograph record 60.0cm in diameter rotates 33 1/3 times per minute.
a) What is its period?
b) Calculate the speed of a point on its rim in m/s.
c) What is the centripetal acceleration of a point on it rim?
4. An object moves with uniform circular motion in a circle of radius 1.50 metres, and makes 5 revs in 10 seconds. What centripetal acceleration is acting on the object?
5. An object of mass 2.50 kg is tied to the end of a string 0.80 m long, and is swung in a horizontal circle with UCM such that it makes 8.00 revs in 6.00 seconds. Find:
a) Period
b) velocity
c) centripetal acceleration
CIRCULAR MOTION WORKSHEET
T = time/rev v = 2πr/T ac= v2/r Fc=m*4π2r/T2 Fc=mac
1. A race car makes one lap around a track of radius 50 m in 9.0s.
a) What is the average velocity?
b) What was the car’s centripetal acceleration?
2. Normie Neutron swings a rubber ball attached to a string over his head in a horizontal, circular path. The piece of string is 1.5 m long and the ball makes 120 complete turns each minute.
a) What is the average velocity of the ball?
b) What is the ball’s centripetal acceleration?
3. A car goes around a curve at 20. m/s. If the radius of the
curve is 50 m, what is the centripetal acceleration of the car?
4. Professor Brown holds on to the end of the minute hand of a clock atop city hall. If the minute hand is 4.0 m long, what is the
professor’s centripetal acceleration?
5. A flea gets its thrills by riding on the outer edge of a golden oldies record album of radius 15 cm as it is being played with a rotational period of 1.8 seconds.
a) What is the flea’s average speed?
b) What is the flea’s centripetal acceleration?
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