How Much Heat is Generated by a Brake Through Friction?

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Discussion Overview

The discussion focuses on calculating the amount of heat generated by a brake through friction. Participants explore the relationship between various parameters such as normal load, coefficient of friction, and distance traveled, while seeking relevant equations to connect these factors.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant states that heat generated is related to friction, suggesting that friction can be calculated as the product of normal load and coefficient of friction.
  • Another participant agrees with the frictional force equation but claims that area of contact is not relevant to the calculation.
  • There is a question about whether distance can be defined as angular velocity multiplied by time, indicating a need for clarification on this relationship.
  • A later reply reiterates that the coefficient of friction is necessary for computing the force and provides a formula for distance in the context of a drum brake.

Areas of Agreement / Disagreement

Participants generally agree on the basic relationship between frictional force and the parameters involved, but there are differing views on the relevance of area of contact and the definition of distance in the context of the problem.

Contextual Notes

Some assumptions about the parameters, such as the coefficient of friction and the choice of normal load, are left unspecified. The discussion does not resolve the relevance of area of contact in the heat generation calculation.

Ziv7
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Homework Statement


I need to find out how much heat is generated by a brake.
I know heat generated = friction
The parameters that will affect it friction are
Normal load (I can choose depending on outcome)
Coefficient of friction (assumed 0.8 between carbon fiber and steel plate)
Area of contact (I can choose depending on outcome)


Homework Equations



I couldn't find relevant equations, which is why i need help in connecting the parameters

Friction = normal load x coefficient of friction ?
 
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Frictional force = normal load X coefficient of friction
Work = force X distance

Area of contact is not relevant

BTW: I'm guessing that it you took separated your work from the "problem statement" (per the homework form), you would have gotten more responses.
 
Thanks, so is the distance angular velocity x time?
Also, surely the force has to be subject to the coefficient of friction?..
 
Ziv7 said:
Thanks, so is the distance angular velocity x time?
Also, surely the force has to be subject to the coefficient of friction?..
The coefficient is part of the computation. You need it to compute the force.

Assuming a drum brake, distance is radius X angular velocity X time.
 

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