Pascals Principle & Efficiecy related problem

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Homework Help Overview

The problem involves a hydraulic jack, specifically examining the relationship between input and output forces, mechanical advantage, and efficiency. The context is rooted in fluid mechanics and mechanical systems.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the steps needed to compute the forces involved, including the transformation of force through the lever's mechanical advantage. Questions arise regarding the calculation of the input force and the role of efficiency in the problem.

Discussion Status

Some participants are attempting to clarify the relationship between the force applied to the lever and the resulting force on the input cylinder. There is a recognition of the need to compute various forces step-by-step, but no consensus has been reached on the calculations or interpretations.

Contextual Notes

Participants express confusion regarding the lever mechanics and the application of the given force. There is an emphasis on understanding the problem setup and the definitions involved, particularly concerning mechanical advantage and efficiency.

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Homework Statement


The input and output pistons of a hydraulic jack are respectively 1 cm and 4 cm in diameter. A lever with a mechanical advantage of 6 is used to apply force to the input piston. How much mass can the jack lift if a force of 180 N is applied to the lever and efficiency is 80%?
(answer)


Homework Equations





The Attempt at a Solution


1410.6 kg
The above question is from a NASA webpage and the answer they provided is 1410.6 kg

Can anyone please tell me how do solve it ?
 
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Do it in steps.

1. Compute the force applied to the input cylinder by the lever.

2. Compute the force produced by the output cylinder.

3. Take efficiency into account.
 
I really don't understand the lever involving part and how to compute the input force,
isnt it 180 Newton as given above? please help me through this problem
 
180 N is the force applied to the lever. The lever has a certain mechanical advantage, so it transforms this force into another force, which is then applied to the cylinder. What is this latter force?
 
voko said:
180 N is the force applied to the lever. The lever has a certain mechanical advantage, so it transforms this force into another force, which is then applied to the cylinder. What is this latter force?

Hmm, How do I calculate the input force by lever :

Please can you do the solution for me once.
 

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