Pascals Principle & Efficiecy related problem

[AviralGoel15]

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 ?

 

[voko]

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.

 

[AviralGoel15]

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

 

[voko]

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?

 

[AviralGoel15]

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.