Consider the automobile hydraulic system shown in Figure 14.18. Suppose a force of 100 N is applied to the brake pedal, which acts on the pedal cylinder (acting as a "master" cylinder) through a lever. A force of 500 N is exerted on the pedal cylinder. Pressure created in the pedal cylinder is transmitted to the four wheel cylinders. The pedal cylinder has a diameter of 0.500 cm and each wheel cylinder has a diameter of 2.50 cm. Calculate the magnitude of the force F, created at each of the wheel cylinders. A1 0.5 cm F, 0.040 m 0.20 m Pedal F= 100 N cylinder F2 2.5 cm Wheel cylinder Figure 14.18 Hydraulic brakes use Pascal's principle. The driver pushes the brake pedal, exerting a force that is increased by the simple lever and again by the hydraulic system. Each of the identical wheel cylinders receives the same pressure and, therefore, creates the same force output F2. The circular cross-sectional areas of the pedal and wheel cylinders are represented by A1 and A2, respectively.

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How much pressure is transmitted in the hydraulic system considered in Example 14.3? Express your answer in atmospheres.

Consider the automobile hydraulic system shown in Figure 14.18. Suppose a force of 100 N is applied to the
brake pedal, which acts on the pedal cylinder (acting as a "master" cylinder) through a lever. A force of 500 N
is exerted on the pedal cylinder. Pressure created in the pedal cylinder is transmitted to the four wheel cylinders.
The pedal cylinder has a diameter of 0.500 cm and each wheel cylinder has a diameter of 2.50 cm. Calculate the
magnitude of the force F, created at each of the wheel cylinders.
Transcribed Image Text:Consider the automobile hydraulic system shown in Figure 14.18. Suppose a force of 100 N is applied to the brake pedal, which acts on the pedal cylinder (acting as a "master" cylinder) through a lever. A force of 500 N is exerted on the pedal cylinder. Pressure created in the pedal cylinder is transmitted to the four wheel cylinders. The pedal cylinder has a diameter of 0.500 cm and each wheel cylinder has a diameter of 2.50 cm. Calculate the magnitude of the force F, created at each of the wheel cylinders.
A1
0.5 cm
F, 0.040 m
0.20 m
Pedal
F= 100 N
cylinder
F2
2.5 cm
Wheel
cylinder
Figure 14.18 Hydraulic brakes use Pascal's principle. The driver pushes the brake pedal, exerting a force
that is increased by the simple lever and again by the hydraulic system. Each of the identical wheel cylinders
receives the same pressure and, therefore, creates the same force output F2. The circular cross-sectional areas
of the pedal and wheel cylinders are represented by A1 and A2, respectively.
Transcribed Image Text:A1 0.5 cm F, 0.040 m 0.20 m Pedal F= 100 N cylinder F2 2.5 cm Wheel cylinder Figure 14.18 Hydraulic brakes use Pascal's principle. The driver pushes the brake pedal, exerting a force that is increased by the simple lever and again by the hydraulic system. Each of the identical wheel cylinders receives the same pressure and, therefore, creates the same force output F2. The circular cross-sectional areas of the pedal and wheel cylinders are represented by A1 and A2, respectively.
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