Solve Turntable Problem: Find Coefficient of Friction

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Homework Help Overview

The problem involves a coin placed on a rotating turntable, where the goal is to determine the coefficient of static friction between the coin and the turntable based on the conditions under which the coin slides off as the turntable's speed increases.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss various formulas for calculating the coefficient of friction, including the relationship between centripetal force and frictional force. Some express uncertainty about their calculations and the values used for constants.

Discussion Status

There are multiple attempts to calculate the coefficient of friction, with participants sharing different results and questioning the accuracy of their computations. Some suggest checking rounding or the precision of constants used, indicating an ongoing exploration of the problem.

Contextual Notes

Participants mention specific values for radius and gravitational acceleration, and there is a concern about the significance of figures in their answers. The problem context implies constraints related to homework submission limits.

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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 [tex]Fc=(4 pi^2 r m)/T^2[/tex]
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 [tex]g[/tex]?
 
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?
 
  • #10
I have one more submission left
 
  • #11
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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