The foot pedal on hydraulic brake system exerts a force of 45 lbs on a piston with a diameter of 1.00 cm.The brake fluid in the brake system exerts the pressure from the foot pedal on a brake pad piston with a diameter of 2.50 cm.The force on the brake pad is

Question

Quizplus · Accepted Answer

We can use the formula:

Force = Pressure x Area

The pressure in the brake fluid is the same throughout the system, so we can use the following equation:

Pressure = Force / Area

Let's first find the pressure:

Pressure = 45 lbs / (π/4)(1.00 cm)^2
Pressure = 5735.04 Pa

Now we can find the force on the larger piston:

Force = Pressure x Area
Force = 5735.04 Pa x (π/4)(2.50 cm)^2
Force = 281.238 lbs

Therefore, the force on the brake pad is approximately 281 lbs.

The Foot Pedal on Hydraulic Brake System Exerts a Force