Constant Torque Find magnitude of friction force

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SUMMARY

The problem involves calculating the magnitude of the friction force acting on a grinding wheel with a radius of 0.330 m, which is brought to rest by a constant torque of 72.1 N*m. The relevant equation for torque is τ = Iα, where I is the moment of inertia given by I = 1/2MR². Although the mass is not provided, the solution can be derived by recognizing that the friction force is directly related to the torque and radius of the wheel.

PREREQUISITES
  • Understanding of torque and its relation to rotational motion
  • Familiarity with the moment of inertia formula I = 1/2MR²
  • Knowledge of angular acceleration (α) and its calculation
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the moment of inertia for different shapes using I = 1/2MR²
  • Explore the relationship between torque, friction force, and radius in rotational dynamics
  • Study angular acceleration and its impact on rotational motion
  • Review examples of constant torque applications in mechanical systems
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Students studying physics, particularly those focusing on mechanics, as well as engineers and anyone interested in understanding rotational dynamics and torque applications.

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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.
 

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