**Hydraulic Brake System Analysis**The figure below illustrates the essential components of a hydraulic brake system. The system includes:- **Master Cylinder**: This is connected to a pedal and is responsible for converting the applied force into hydraulic pressure.- **Brake Cylinder**: This component receives the hydraulic pressure and applies it to the brake shoe.- **Shoe and Wheel Drum**: The shoe is pressed against the wheel drum to create friction and slow down the wheel.### Problem Statement:- The area of the piston in the master cylinder is **1.8 cm²**.- The area of the piston in the brake cylinder is **6.4 cm²**.- The coefficient of friction between the shoe and wheel drum is **0.50**.- The wheel has a radius of **39 cm**.- A force of **32 N** is exerted on the brake pedal.**Objective**: Determine the frictional torque about the axle when the specified force is applied to the brake pedal.### Diagram Explanation:- The diagram shows a cross-sectional view of the hydraulic brake system components, illustrating the connection between the pedal, master cylinder, brake cylinder, shoe, and wheel drum.- The system demonstrates how the hydraulic force is transmitted and amplified through different piston areas and mechanical advantage.This educational content aims to help students understand the function and calculations associated with hydraulic brake systems in physics and engineering contexts.

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Description: **Hydraulic Brake System Analysis**The figure below illustrates the essential components of a hydraulic brake system. The system includes:- **Master Cylinder**: This is connected to a pedal and is responsible for converting the applied force into hy

Let the area of the piston in the master cylinder be A1, the area of the piston in the brake…

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The figure below shows the essential parts of a hydraulic brake system. The area of the piston in the master cylinder is 1.8 cm, and that of the piston in the brake cylinder is of friction between shoe and wheel drum is 0.50. If the wheel has a radius of 39 cm, determine the frictional torque about the axle when a force of 32. N is exerted on the brake pedal. cm. The bemicient N-m Wheel drum. Pedal Shoe- Master Вrake cylinder cylinder

The figure below shows the essential parts of a hydraulic brake system. The area of the piston in the master cylinder is 1.8 cm, and that of the piston in the brake cylinder is of friction between shoe and wheel drum is 0.50. If the wheel has a radius of 39 cm, determine the frictional torque about the axle when a force of 32. N is exerted on the brake pedal. cm. The bemicient N-m Wheel drum. Pedal Shoe- Master Вrake cylinder cylinder

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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Question

**Hydraulic Brake System Analysis**

The figure below illustrates the essential components of a hydraulic brake system. The system includes:

- **Master Cylinder**: This is connected to a pedal and is responsible for converting the applied force into hydraulic pressure.
- **Brake Cylinder**: This component receives the hydraulic pressure and applies it to the brake shoe.
- **Shoe and Wheel Drum**: The shoe is pressed against the wheel drum to create friction and slow down the wheel.

### Problem Statement:

- The area of the piston in the master cylinder is **1.8 cm²**.
- The area of the piston in the brake cylinder is **6.4 cm²**.
- The coefficient of friction between the shoe and wheel drum is **0.50**.
- The wheel has a radius of **39 cm**.
- A force of **32 N** is exerted on the brake pedal.

**Objective**: Determine the frictional torque about the axle when the specified force is applied to the brake pedal.

### Diagram Explanation:

- The diagram shows a cross-sectional view of the hydraulic brake system components, illustrating the connection between the pedal, master cylinder, brake cylinder, shoe, and wheel drum.
- The system demonstrates how the hydraulic force is transmitted and amplified through different piston areas and mechanical advantage.

This educational content aims to help students understand the function and calculations associated with hydraulic brake systems in physics and engineering contexts.

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