Physics HW Help: Find Force for Wheat on Conveyor Belt

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SUMMARY

The discussion focuses on calculating forces in two physics problems involving friction and motion. In the first problem, a 5.0 g coin on a turntable with static friction of 0.80 and kinetic friction of 0.50 does not slide off when the turntable reaches 60 rpm, as the maximum static friction force exceeds the required centripetal force. In the second problem, to maintain a constant speed of 2.0 m/s for a conveyor belt carrying wheat at a rate of 30 kg/s, a force of 60 N must be exerted, calculated using the formula F = ma, where m is the mass flow rate and a is the acceleration.

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  • Understanding of Newton's laws of motion
  • Knowledge of static and kinetic friction coefficients
  • Ability to convert rotational speed from rpm to radians per second
  • Familiarity with basic force calculations in physics
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cwgeary
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Any help would be appreciated. I have the answers to these problems but can't seem to fully work through them. Well here they are:

#1) A 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients of friction iwth the turntable surface of static friction=0.80 and kinetic friction=0.50. The turntable very slowly speeds up to 60 rpm. Does the coin slide off?

The answer is no. But I am not sure how to get there. I converted 60 rpm to radians per second and figured the maximum static friction before the coin will move is 0.0392 (0.80*0.049). I tried to figure what the force on the penny would be by using Newton's 2nd law: sum of the forces in the r direction=mass*angular velocity*radius (0.005*(2*PI)^2)(0.15). Is any of this right?

#2) Wheat is poured onto a convyor belt at a steady rate of 30 kg/s. What force must be exerted to keep the belt moving at a constant speed of 2.0 m/s? Any help on this one would be appreciated. I am not sure how to even start attacking this one.
 
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