Constant Torque Find magnitude of friction force

AI Thread Summary
To find the magnitude of the friction force acting on a grinding wheel with a radius of 0.330 m and a constant torque of 72.1 N*m, the relationship between torque, radius, and force can be utilized. The equation for torque is given by τ = r * F, where τ is torque, r is the radius, and F is the friction force. Rearranging this equation allows for the calculation of the friction force as F = τ / r. Substituting the known values, F can be determined without needing the mass of the wheel. This approach simplifies the problem significantly.
sarahjt1
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Homework Statement


A grinding wheel of radius 0.330m rotating on a frictionless axle is brought to rest by applying a constant friction force tangential to its rim. The constant torque produced by this force is 72.1 N*m. Find the magnitude of the friction force.

I'm honestly lost at even starting this problem but below are some equations that I THINK are relevant but I don't really know.

Homework Equations



torque=I alpha, where I = 1/2MR^2.

This is where I get confused because we are not given a mass....


The Attempt at a Solution

 
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Nevermind... silly me. Much simpler than I thought.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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