A small coin is placed on a flat, horizontal turntable. The turntable rotates at a constant rate of 45 rpm: It is observed to make 3 rotations in 4.0 s. When viewed from above, the turntable rotates counterclockwise. (a) A coin rides without slipping at a distance of 5.0 cm from the center of the turntable. What is the speed of the coin? (b) What is the acceleration (magnitude and direction) of the coin in part (a)? (c) Draw a free-body diagram of the coin. Label all of the forces in your diagram. (d) The coin has a mass of 2.5g. What is the frictional force acting on the coin in part (a)? (e) Over the course of several experiments, you observe that the coin will slide off if it is more than 10 cm from the center of the turntable, but it will ride along without slipping if it is closer than this. What is the coefficient of static friction between the coin and the turntable?

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Need help with parts (d) and (e). The speed of the coin from part (a) is 0.2536 m/s and the acceleration of the coin from part (b) is 1.11 m/s^2.

# Turntable

A small coin is placed on a flat, horizontal **turntable**. The turntable rotates at a constant rate of 45 rpm. It is observed to make 3 rotations in 4.0 s. When viewed from above, the turntable rotates counterclockwise.

(a) A coin rides without slipping at a distance of 5.0 cm from the center of the turntable. What is the speed of the coin?

(b) What is the acceleration (magnitude and direction) of the coin in part (a)?

(c) **Draw a free-body diagram of the coin.** Label all of the forces in your diagram.

(d) The coin has a mass of 2.5 g. What is the frictional force acting on the coin in part (a)?

(e) Over the course of several experiments, you observe that the coin will slide off if it is more than 10 cm from the center of the turntable, but it will ride along without slipping if it is closer than this. What is the coefficient of static friction between the coin and the turntable?
Transcribed Image Text:# Turntable A small coin is placed on a flat, horizontal **turntable**. The turntable rotates at a constant rate of 45 rpm. It is observed to make 3 rotations in 4.0 s. When viewed from above, the turntable rotates counterclockwise. (a) A coin rides without slipping at a distance of 5.0 cm from the center of the turntable. What is the speed of the coin? (b) What is the acceleration (magnitude and direction) of the coin in part (a)? (c) **Draw a free-body diagram of the coin.** Label all of the forces in your diagram. (d) The coin has a mass of 2.5 g. What is the frictional force acting on the coin in part (a)? (e) Over the course of several experiments, you observe that the coin will slide off if it is more than 10 cm from the center of the turntable, but it will ride along without slipping if it is closer than this. What is the coefficient of static friction between the coin and the turntable?
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