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Given the hydraulic cylinder shown below, what is the (a) force out and (b) pressure in the line? How far must the input piston move for the output piston to move 1 inch? Force In Force Out 1 in? area 10 in? area Force in 10 lbs. a. Fout = b. р3 С. Din =

Given the hydraulic cylinder shown below, what is the (a) force out and (b) pressure in the line? How far must the input piston move for the output piston to move 1 inch? Force In Force Out 1 in? area 10 in? area Force in 10 lbs. a. Fout = b. р3 С. Din =

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
**Hydraulic Cylinder Analysis** Given the hydraulic cylinder shown below, determine the following: (a) What is the force out (\( F_{\text{out}} \))? (b) What is the pressure (\( p \)) in the line? (c) How far (\( D_{\text{in}} \)) must the input piston move for the output piston to move 1 inch? **Diagram Explanation:** - **Force In:** The system inputs 10 lbs of force. - **Piston Areas:** - **Input Piston Area:** 1 in² - **Output Piston Area:** 10 in² **Flow of Force:** - The force is applied to the input piston with an area of 1 in². - The force is transferred through the hydraulic fluid to the output piston. - The increase in piston area from 1 in² to 10 in² affects the output force. **Equations/Empty Fields:** - a. \( F_{\text{out}} = \) ____________ - b. \( p = \) ____________ - c. \( D_{\text{in}} = \) ____________ The illustration highlights the input and output sections with arrows and labels indicating the direction of force application. The areas of the pistons are clearly marked to demonstrate how force and movement relate across the system.
Transcribed Image Text:**Hydraulic Cylinder Analysis** Given the hydraulic cylinder shown below, determine the following: (a) What is the force out (\( F_{\text{out}} \))? (b) What is the pressure (\( p \)) in the line? (c) How far (\( D_{\text{in}} \)) must the input piston move for the output piston to move 1 inch? **Diagram Explanation:** - **Force In:** The system inputs 10 lbs of force. - **Piston Areas:** - **Input Piston Area:** 1 in² - **Output Piston Area:** 10 in² **Flow of Force:** - The force is applied to the input piston with an area of 1 in². - The force is transferred through the hydraulic fluid to the output piston. - The increase in piston area from 1 in² to 10 in² affects the output force. **Equations/Empty Fields:** - a. \( F_{\text{out}} = \) ____________ - b. \( p = \) ____________ - c. \( D_{\text{in}} = \) ____________ The illustration highlights the input and output sections with arrows and labels indicating the direction of force application. The areas of the pistons are clearly marked to demonstrate how force and movement relate across the system.
Expert Solution
Step 1

Given data, 

Force in , F1= 10 lbs 

A1= 1 in2 

A2=10 in2 

 

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