You are designing a hydraulic lift for an automobile garage. It will consist of two oil-filled cylindrical pipes of different diameters. A worker pushes down on a piston at one end, raising the car on a platform at the other end. See (Figure 1). To handle a full range of jobs, you must be able to lift cars up to 3000 kg , plus the 700 kg platform on which they are parked. To avoid injury to your workers, the maximum amount of force a worker should need to exert is 100 N. Part A) What should be the diameter of the pipe under the platform? Express your answer in meters. (pls provide a proper anwer, in the form of m)
You are designing a hydraulic lift for an automobile garage. It will consist of two oil-filled cylindrical pipes of different diameters. A worker pushes down on a piston at one end, raising the car on a platform at the other end. See (Figure 1). To handle a full range of jobs, you must be able to lift cars up to 3000 kg , plus the 700 kg platform on which they are parked. To avoid injury to your workers, the maximum amount of force a worker should need to exert is 100 N. Part A) What should be the diameter of the pipe under the platform? Express your answer in meters. (pls provide a proper anwer, in the form of m)
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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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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You are designing a hydraulic lift for an automobile garage. It will consist of two oil-filled cylindrical pipes of different diameters. A worker pushes down on a piston at one end, raising the car on a platform at the other end. See (Figure 1). To handle a full range of jobs, you must be able to lift cars up to 3000 kg , plus the 700 kg platform on which they are parked. To avoid injury to your workers, the maximum amount of force a worker should need to exert is 100 N.
Part A)
What should be the diameter of the pipe under the platform?
Express your answer in meters.
(pls provide a proper anwer, in the form of m)
![**Educational Website Transcription**
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**Problem 11.37**
You are using a hydraulic lift in an automobile garage. In an example of one widely used form of lift, compressed air is used to exert a force on a small piston with a circular cross-section having a diameter of 5.06 cm. This pressure is transmitted by an incompressible liquid to a second piston with a diameter of 29.5 cm.
What force must the compressed air exert to lift a car weighing 15.0 kN?
Figure: The figure shows an automobile lifted by a hydraulic system. The system consists of two pistons connected by a tube filled with an incompressible liquid. The first piston (small) is where the force is applied, and the second piston (large) is where the car is lifted.
**Part A**
What should be the diameter of the pipe connecting the pistons?
Express your answer in meters.
\[ \text{[Input box] m} \]
**Submit**
**Request Answer**
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**Part B**
If the same system can lift at most 18.0 kN, how high must the car be lifted to elevate 55.0 kJ of energy?
Express your answer in centimeters.
\[ \text{[Input box] cm} \]
**Submit**
**Request Answer**
**Diagram Explanation:**
The diagram illustrates a hydraulic lift mechanism. The hydraulic system is depicted with two pistons—one smaller and the other larger. The smaller piston is connected to an air compressor, and the larger piston supports the car, displaying how force applied on a smaller area can lift heavy loads over a larger area through hydraulic pressure.
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This educational content introduces the concept of hydraulic systems and how they function in lifting heavy loads, including variables such as force, area, and energy transfer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73a75771-70b1-4bb7-8045-da7c904db311%2F6ff97a63-5400-4f72-9b8c-4e4c4661b223%2Fmd5dv3g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription**
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**Problem 11.37**
You are using a hydraulic lift in an automobile garage. In an example of one widely used form of lift, compressed air is used to exert a force on a small piston with a circular cross-section having a diameter of 5.06 cm. This pressure is transmitted by an incompressible liquid to a second piston with a diameter of 29.5 cm.
What force must the compressed air exert to lift a car weighing 15.0 kN?
Figure: The figure shows an automobile lifted by a hydraulic system. The system consists of two pistons connected by a tube filled with an incompressible liquid. The first piston (small) is where the force is applied, and the second piston (large) is where the car is lifted.
**Part A**
What should be the diameter of the pipe connecting the pistons?
Express your answer in meters.
\[ \text{[Input box] m} \]
**Submit**
**Request Answer**
---
**Part B**
If the same system can lift at most 18.0 kN, how high must the car be lifted to elevate 55.0 kJ of energy?
Express your answer in centimeters.
\[ \text{[Input box] cm} \]
**Submit**
**Request Answer**
**Diagram Explanation:**
The diagram illustrates a hydraulic lift mechanism. The hydraulic system is depicted with two pistons—one smaller and the other larger. The smaller piston is connected to an air compressor, and the larger piston supports the car, displaying how force applied on a smaller area can lift heavy loads over a larger area through hydraulic pressure.
---
This educational content introduces the concept of hydraulic systems and how they function in lifting heavy loads, including variables such as force, area, and energy transfer.
Transcribed Image Text:The image shows a hydraulic lift system used to elevate a car. The diagram includes:
1. **Car on Platform**: A car is shown elevated on a platform at the top of the hydraulic lift system.
2. **Worker**: A person is depicted next to the lift, likely controlling or observing the process.
3. **Hydraulic System**: The diagram illustrates the anatomy of the hydraulic system with two pistons and a connecting pipe filled with hydraulic fluid.
4. **Piston Dimensions**:
- **Left Piston**: The piston where the worker is shown has a diameter of 25 cm.
- **Right Piston**: The piston under the car has an unspecified diameter, but it is labeled with a variable "D" and a radius "r".
5. **Pistons' Position**: The left piston, likely where the force is applied, is lower and smaller compared to the right piston supporting the car.
The system demonstrates Pascal's Principle, which states that pressure applied in a confined fluid is transmitted equally in all directions. Thus, a small force applied on the left piston results in a larger force lifting the car due to the larger surface area of the right piston.
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