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 = 9.24 times 10^-3 m) in the master cylinder. The resulting pressure is transmitted by the brake fluid to the output plungers (radii = 1.76 times 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 4.76 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. A 0.90 m times 0.30 m times 0.90 m block is suspended from a wire and is completely under water. What buoyant force acts on the block?

Explanation / Answer

From pressure balance we can get

4.76/pi*[9.24*10^-3]^2 = F'/pi*(1.76*10^-2)^2
F' = 17.26 N

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