A twenty ton floor jack has a hydraulic piston with a 7 in d

A twenty ton floor jack has a hydraulic piston with a 7 in diameter. If 60 pounds of force is being applied to the piston, please answer the following: a) What is the pressure being exerted on the piston in psi? b) If the diameter of the cylinder at the other end of the hydraulic jack to lift a car is 1 foot, how much force is can lift if pressure difference of oil height is negligible?

Solution

Solution:-

Given

(a)

F₁ = 60 pound

A₁ = /4 *7² =38.48 inch²

Pressure (P₁) = F₁/A₁ = 60/(38.48) = 1.559 psi    Answer

(b)

D₂ = 1 foot = 12 inch

P₂ = F₂/A₂

By pascals law

P₁ = P₂

Then

1.559 = F₂/(/4*12²)

F₂ = 176.31 pound   Answer