The drawing shows a hydraulic system used with disc brakes. The force F is applied perpendicularly to the brake pedal. The brake pedal rotates about the axis shown in the drawing and causes a force to be applied perpendicularly to the input piston (radius = 8.75 10-3 m) in the master cylinder. The resulting pressure is transmitted by the brake fluid to the output plungers (radii = 2.18 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 8.16 N. Assume that the input piston and the output plungers are at the same vertical level.
The Drawing shows a brake pedal rotating about an Axis A at one end of the brake pedal. The distance from the axis A to the input piston is .05m while the distance from axis A to the point where the force is applied is .1m. The total length of the brake is .15m. The brake pads are placed on either side of the rotating wheel.
2006-12-15 00:54:47 · 1 answers · asked by kevin 2 in Science & Mathematics ➔ Physics
The force on the input piston is equal to the force applied to the pedal times the mechanical advantage of the lever of the pedal.
In this case 0.15/0.05 = 3)
The hydraulic pressure created by the master cylinder is equal to the force exerted on the piston divided by the surface area of the input piston.
The force created by the output piston is equal to the surface area of the piston times the pressure of the hydraulic fluid.
2006-12-15 11:09:53 · answer #1 · answered by a simple man 6 · 0⤊ 0⤋