The redal rotates about the axis and causes a force to beapplied perpendicularly

Question

The redal rotates about the axis and causes a force to beapplied perpendicularly to the input piston (radius = 9.50 x10-3 m) in the master cylinder. The resulting pressureis transmitted by the brake fluid to the output plungers (radii =1.90 x 10-2 m ), which are covered with brakelinings. The lingings are pressed against both sides of adisc attached to the rotating wheel. SUpposed that themagnitude of F is 9.00 N. Assume that the input piston andoutput plungers are at the same vertical level, and find the forceapplied to each side of the rotating disc.

Explanation / Answer

   according to the pascals principle the pressurein the break fluid at the master cylinder is equal to    the pressure in the break fluid at theplungers so we can write    PC = PP    as  P = F / A we get    FC / AC =FP / AP    FP = FC(AP / AC)         =FC ( rP2 / rC2)         =FC (rP/ rC)2    we know that torque is given by     F l    as the torque on the pedal is equal to the torquethat is applied to the master cylinder so we get    F l = FClC    FC = F (l /lC)    on substitution we get    Fp = F (l /lC) (rP/ rC)2    FC = F (l /lC)    on substitution we get    Fp = F (l /lC) (rP/ rC)2

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