Answer:
The force at the brake pad = 250 N
Explanation:
The hydraulic brake system works on the Pascal's Principle for pressure transmission in fluids; the pressure applied to a fluid is transmitted undiminished in all directions.
For hydraulic systems, the pressure applied to the brake pedal is transmitted undiminished through the fluid filled tube, connected at each end to a piston, to the brake pad.
Hence, mathematically,
P(brake pedal) = P(break pad)
Pressure is given as the force applied divided by the cross sectional Area perpendicular to the direction of applied force.
P(brake pedal) = (Force applied on the brake pedal) ÷ (Cross Sectional Area of the brake pedal)
Force applied on the brake pedal = 50 N
Cross Sectional Area of the brake pedal = 3 cm²
P(brake pedal) = (50/3) = 16.67 N/cm²
P(brake pad) = P(brake pedal) = 16.67 N/cm²
P(brake pad) = (Force applied on the brake pad) ÷ (Cross Sectional Area of the brake pad)
Force applied on the brake pad = F = ?
Cross Sectional Area of the brake pad = 15 cm²
16.67 = (F/15)
F = 16.67 × 15 = 250 N
Hence, the force at the brake pad = 250 N
Hope this Helps!!!
