Frictional coin sliding on turntable

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SUMMARY

The discussion focuses on calculating the maximum revolutions per minute (rpm) for a turntable with a 5.0 g coin placed 22 cm from its center, given the static friction coefficient (µs = 0.80). The key equations used include the relationship between linear velocity and angular velocity (v = angular velocity * r) and the centripetal force equation (Force(net) = m(v)^2 / r). Participants emphasize the importance of identifying the force providing centripetal acceleration and using the maximum static friction force to determine the maximum speed before the coin slips.

PREREQUISITES
  • Understanding of centripetal force and its application in rotational motion
  • Familiarity with static and kinetic friction coefficients
  • Basic knowledge of angular velocity and its relationship to linear velocity
  • Ability to manipulate equations involving mass, radius, and forces
NEXT STEPS
  • Calculate the maximum static friction force using the formula F_friction = µs * N
  • Explore the relationship between angular velocity and linear velocity in rotational systems
  • Learn how to convert linear speed to rpm for rotating objects
  • Investigate the effects of varying mass and radius on the stability of objects on rotating surfaces
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rotational motion and frictional forces on rotating surfaces.

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A 5.0 g coin is placed 22 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of µs = 0.80 and µk = 0.50. What is the maximum rpm that the turntable could speed up to without the coin sliding off?
m = .005 kg
r = .22 m
µs = 0.8

Equations found..
v = angular velocity * r
Force(net) = m(v)^2 / r

Inertia > µs N when coin slips (?)

I believe this gets set equal to mg (Normal Force) but I haven't been able to generate the correct answer multiplying µs as a coefficient of either side.

I'm not sure what isn't being accounted for, what do I do?
 
Last edited:
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You're heading in the right direction. Answer these questions:
(1) What force provides the centripetal force on the coin?
(2) What's the maximum value of that force?

Use that maximum value of force in your centripetal force equation to calculate the maximum speed. Then express that answer in rpm.

Do Not Double Post!
 
Last edited:

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