Find torque in disc brakes given normal force and coefficient of friction

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SUMMARY

The discussion focuses on calculating the torque generated by disc brakes using the normal force and coefficient of friction. Given a normal force of 85 N per brake pad and a coefficient of friction of 0.62, the frictional force on the rotor is determined to be 52.7 N for each pad. The torque is calculated using the formula \( t = F \cdot d \), where \( d \) is the distance from the rotational axis (0.08 m). The final torque value, considering both brake pads, is 8.432 Nm.

PREREQUISITES
  • Understanding of basic physics concepts such as force, torque, and friction.
  • Familiarity with the equations \( F_{fr} = \mu N \) and \( t = Fd \).
  • Knowledge of units of measurement, specifically Newtons (N) and meters (m).
  • Basic understanding of disc brake mechanics in automotive applications.
NEXT STEPS
  • Research the impact of different coefficients of friction on braking performance.
  • Explore the relationship between normal force and braking efficiency in disc brakes.
  • Learn about the design considerations for brake pads and rotors in automotive engineering.
  • Investigate advanced torque calculations in dynamic braking systems.
USEFUL FOR

Automotive engineers, physics students, and anyone involved in the design or analysis of braking systems will benefit from this discussion.

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Homework Statement


In the disc brakes that slow down a car, a pair of brake pads squeezes a spinning rotor; friction between the pads and the rotor provides the torque that slows down the car. If the normal force that each pad exerts on a rotor is 85 N, and the coefficient of friction is 0.62, what is the frictional force on the rotor due to each of the pads? If this force acts 8.0 cm from the rotational axis, what is the magnitude of the torque on the rotor due to the pair of brake pads?


Homework Equations


Ffr = (mu)N
t = Fd

The Attempt at a Solution


For the frictional force i used the formula, friction force = 0.62(85) = 52.7 N each
For the torque, i used the force form above and multiplied it by 0.08 to get 4.216 Nm
 
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Your solution looks right. Except that at the end the problem states "torque on the rotor due to the pair of brake pads." So I'm guessing he meant to multiply the value by two.
 

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