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

In summary, the problem involves calculating the frictional force and torque on a pair of brake pads in a disc brake system. The frictional force is found to be 52.7 N for each pad, and the torque is 8.432 Nm for the pair of pads.
  • #1
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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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  • #2
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.
 

1. What is torque?

Torque is a measure of the twisting force on an object. In the context of disc brakes, torque is the force that is applied to the brake rotor to slow down or stop the vehicle.

2. How is torque calculated?

Torque is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. In the case of disc brakes, the force is applied by the brake pads to the rotor, and the distance is the radius of the rotor.

3. What is the normal force?

The normal force is the force perpendicular to the surface of an object. In the case of disc brakes, the normal force is the force that the brake pads exert on the rotor. It is equal to the weight of the vehicle that is pressing down on the brakes.

4. What is the coefficient of friction?

The coefficient of friction is a measure of the amount of friction between two surfaces. In the context of disc brakes, it is a value that represents the grip between the brake pads and the rotor. A higher coefficient of friction means that the brakes will be more effective at stopping the vehicle.

5. How does the coefficient of friction affect the torque in disc brakes?

The coefficient of friction plays a significant role in determining the amount of torque that is needed to slow down or stop a vehicle. A higher coefficient of friction means that more force is needed to stop the vehicle, resulting in a higher torque. Conversely, a lower coefficient of friction means that less force (and therefore less torque) is needed to stop the vehicle.

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