Solve Turntable Problem: Find Coefficient of Friction

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The discussion revolves around calculating the coefficient of static friction for a coin on a rotating turntable. The coin remains stationary until the turntable reaches 36 rpm, after which it slides off. The centripetal force is calculated using the formula Fc=(4 pi^2 r m)/T^2, and the coefficient of friction is derived from μ = v^2 / (g*r). Initial calculations yielded results around 0.15, but after adjustments for significant figures and precision in values, a final correct answer of approximately 0.145 was confirmed. The importance of accuracy in rounding and significant figures was emphasized in reaching the correct solution.
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A coin is placed 10.0 cm from the axis of a rotating turntable of variable speed. When the speed of the turntable is slowly increased, the coin remains fixed on the turntable until a rate of 36 rpm is reached, at which point the coin slides off. What is the coefficient of static friction between the coin and the turntable?

I know that MueK, is going to be Fs / Fn, but I'm having trouble getting those, if anyone can give me a clue into start this.
 
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you need to find the centripetal force Fc=(4 pi^2 r m)/T^2
Then use Fc=μmg to solve for μ
 
i came up with the formula, Mue = v^2 / (g*r), i am getting .15 as the answer, however it is saying it is wrong.
 
mattx118 said:
i came up with the formula, Mue = v^2 / (g*r), i am getting .15 as the answer, however it is saying it is wrong.

Hmm, I got something slightly different. Perhaps you should check your rounding, or use a more precise value for g?
 
r=0.1m
g=9.8m/s^2
v=0.377m/s

so it's about .116
 
that answer is also wrong, i have no idea what is wrong I'm almost sure i have done it correctly
 
ack, sorry, I got 0.145 just as you did.
 
Yea, I don't know why its saying its wrong :X
 
What is the actual answer?
 
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Well then haha, it was .145 I got it right, maybe it was looking for a special amount of sig figs. I was rounding it off.
 
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