The drawing shows a hydraulic system used with disc brakes. The force F is appli

Question

The drawing shows a hydraulic system used with disc brakes. The force F is applied perpendicularly to the brake pedal. The pedal rotates about the axis shown in the drawing and causes a force to be applied perpendicularly to the input piston (radius = 7.99 x 10-3 m) in the master cylinder. The resulting pressure is transmitted by the brake fluid to the output plungers (radii = 1.78 x 10-2 m), which are covered with the brake linings. The linings are pressed against both sides of a disc attached to the rotating wheel. Suppose that the magnitude of F is 8.80 N. Assume that the input piston and the output plungers are at the same vertical level, and find the force applied to each side of the rotating disc.

Explanation / Answer

k = (1.78e-2/7.99e-3)**2 = 4.95

So if the input force is 8.80 N the output is

Fout = k*8.80 = 43.56N

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