Question

A hydraulic brake system in a car connects the brake pedal to the brakes on the wheels. When the driver presses the brake pedal inside the car, a piston applies force to a master cylinder containing hydraulic fluid. A hose connects the master cylinder to each brake cylinder. At each brake cylinder, hydraulic fluid pressure on a piston applies force to the brake shoe. Suppose that a driver applies a force of 210 N to the master cylinder, which has a diameter equal to 1/4 the diameter of the brake cylinder. What is the force F applied by the brake cylinder on the brake shoe? F = N 

          A hydraulic brake system in a car connects the brake pedal to the brakes on the wheels. When the driver presses the brake pedal inside the car, a piston applies force to a master cylinder containing hydraulic fluid. A hose connects the master cylinder to each brake cylinder. At each brake cylinder, hydraulic fluid pressure on a piston applies force to the brake shoe.

Suppose that a driver applies a force of 210 N to the master cylinder, which has a diameter equal to 1/4 the diameter of the brake cylinder. What is the force F applied by the brake cylinder on the brake shoe?

F = N
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A hydraulic brake system in a car connects the brake pedal to the brakes on the wheels. When the driver presses the brake pedal inside the car, a piston applies force to a master cylinder containing hydraulic fluid. A hose connects the master cylinder to each brake cylinder. At each brake cylinder, hydraulic fluid pressure on a piston applies force to the brake shoe. Suppose that a driver applies a force of 210 N to the master cylinder, which has a diameter equal to 1/4 the diameter of the brake cylinder. What is the force F applied by the brake cylinder on the brake shoe? F = N

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A hydraulic brake system in a car connects the brake pedal to the brakes on the wheels. When the driver presses the brake pedal inside the car, a piston applies force to a master cylinder containing hydraulic fluid. A hose connects the master cylinder to each brake cylinder. At each brake cylinder, hydraulic fluid pressure on a piston applies force to the brake shoe. Suppose that a driver applies a force of 210 N to the master cylinder, which has a diameter equal to 1/4 the diameter of the brake cylinder. What is the force F applied by the brake cylinder on the brake shoe?
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When a driver pushes the brake pedal, a force F1, is exerted over and area A1 in the master cylinder A. The cross-sectional area of cylinder B is A2. A force F2 is then applied to the braking mechanism in the wheels of the vehicle. F1 = 150 N, A1 = 2.0 cm2, A2 = 3.0 cm2 Calculate the pressure exerted I cylinder A in pascals State the pressure exerted in cylinder B. Calculate the force F2.

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Transcript

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00:01 Hello student, to solve the given question, let us write the formula for pressure that is equal to force per unit area.
00:08 So we'll be using this relation to solve the question.
00:11 Firstly, according to the statement, we are given the value for d1 is one -fourth of d2.
00:18 From here, the ratio, d2 divided by d1 is equal to 4.
00:24 We are also given with the value for force f1.
00:27 Now let us use the pascal's law.
00:31 Pressure will be same for both the particles.
00:34 So here, plug in the value for force per unit area, we get f1 divided by a1 equals f2 divided by a2...
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