**Hydraulic Brake System Explanation***Text:*The figure below shows the essential parts of a hydraulic brake system. The area of the piston in the master cylinder is \(1.8 \, \text{cm}^2\) and that of the piston in the brake cylinder is \(6.4 \, \text{cm}^2\). The coefficient of friction between the shoe and wheel drum is 0.50. If the wheel has a radius of 32 cm, determine the frictional torque about the axle when a force of 33 N is exerted on the brake pedal.*Image Description:*The diagram illustrates the components of a hydraulic brake system. Key elements include:- **Pedal:** Acts as the input force mechanism.- **Master Cylinder:** Connected to the pedal, it converts the applied force into hydraulic pressure.- **Brake Cylinder:** Receives hydraulic pressure from the master cylinder, applying force to the brake shoe.- **Shoe:** Contacts the wheel drum to exert frictional force, slowing the wheel.- **Wheel Drum:** The rotating part, connected to the wheel, which is slowed by the shoe.The diagram suggests a cross-sectional view where the motion of the hydraulic fluid can be inferred, connecting the master and brake cylinders, leading to the application of brake force via the shoe onto the drum. **Title: Understanding Fluid Dynamics: Analyzing a Historical Problem****Context:** A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.10 cm in diameter.**Problem Analysis:****(a)** If the hole was 1.80 m below the surface of the North Sea (density \(1030 \, \text{kg/m}^3\)), what was the force on his finger?- **Answer:** [Input box for users to calculate the force in Newtons]**(b)** If he pulled his finger out of the hole, how long would it take the released water to fill 1 acre of land to a depth of 1 ft, assuming the hole remained constant in size? (A typical U.S. family of four uses 1 acre-foot of water, \(1234 \, \text{m}^3\), in 1 year.)- **Answer:** [Input box for users to calculate the time in days]**Explanation:**1. **Fluid Properties:** Uses the density of seawater to determine pressure differences and forces.2. **Forces on Object:** Calculating the force involves understanding pressure at a given depth and applying it over the area of the hole.3. **Flow Rates and Volumes:** Relates to how water discharge would fill a specific volume over time.**Educational Objective:** This problem encourages a practical understanding of fluid dynamics principles and their real-world applications.

Name: **Hydraulic Brake System Explanation***Text:*The figure below shows t
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Description: **Hydraulic Brake System Explanation***Text:*The figure below shows the essential parts of a hydraulic brake system. The area of the piston in the master cylinder is \(1.8 \, \text{cm}^2\) and that of the piston in the brake cylinder is \(6.4 \, \te

Given data *The area of the piston in the master cylinder is A1 = 1.8 cm2 = 1.8 × 10-4 m *The area…

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Invalid path. 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 6.4 cm?. The coefficient of friction between shoe and wheel drum is 0.50. If the wheel has a radius of 32 cm, determine the frictional torque about the axle when a force of 33 N is exerted on the brake pedal. N.m Wheel drum Pedal Shoe Master Brake cylinder cylinden

Invalid path. 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 6.4 cm?. The coefficient of friction between shoe and wheel drum is 0.50. If the wheel has a radius of 32 cm, determine the frictional torque about the axle when a force of 33 N is exerted on the brake pedal. N.m Wheel drum Pedal Shoe Master Brake cylinder cylinden

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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 Explanation**

*Text:*

The figure below shows the essential parts of a hydraulic brake system. The area of the piston in the master cylinder is \(1.8 \, \text{cm}^2\) and that of the piston in the brake cylinder is \(6.4 \, \text{cm}^2\). The coefficient of friction between the shoe and wheel drum is 0.50. If the wheel has a radius of 32 cm, determine the frictional torque about the axle when a force of 33 N is exerted on the brake pedal.

*Image Description:*

The diagram illustrates the components of a hydraulic brake system. Key elements include:

- **Pedal:** Acts as the input force mechanism.
- **Master Cylinder:** Connected to the pedal, it converts the applied force into hydraulic pressure.
- **Brake Cylinder:** Receives hydraulic pressure from the master cylinder, applying force to the brake shoe.
- **Shoe:** Contacts the wheel drum to exert frictional force, slowing the wheel.
- **Wheel Drum:** The rotating part, connected to the wheel, which is slowed by the shoe.

The diagram suggests a cross-sectional view where the motion of the hydraulic fluid can be inferred, connecting the master and brake cylinders, leading to the application of brake force via the shoe onto the drum.

**Title: Understanding Fluid Dynamics: Analyzing a Historical Problem**

**Context:** A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.10 cm in diameter.

**Problem Analysis:**

**(a)** If the hole was 1.80 m below the surface of the North Sea (density \(1030 \, \text{kg/m}^3\)), what was the force on his finger?

- **Answer:** [Input box for users to calculate the force in Newtons]

**(b)** If he pulled his finger out of the hole, how long would it take the released water to fill 1 acre of land to a depth of 1 ft, assuming the hole remained constant in size? (A typical U.S. family of four uses 1 acre-foot of water, \(1234 \, \text{m}^3\), in 1 year.)

- **Answer:** [Input box for users to calculate the time in days]

**Explanation:**

1. **Fluid Properties:** Uses the density of seawater to determine pressure differences and forces.
2. **Forces on Object:** Calculating the force involves understanding pressure at a given depth and applying it over the area of the hole.
3. **Flow Rates and Volumes:** Relates to how water discharge would fill a specific volume over time.

**Educational Objective:** This problem encourages a practical understanding of fluid dynamics principles and their real-world applications.

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