Question

In the process of changing a flat tire, a motorist uses a hydraulic jack. She begins by applying a force of 41 N to the input piston, which has a radius r1. As a result, the output plunger, which has a radius r2, applies a force to the car. The ratio r2/r1 has a value of 8.6. Ignore the height difference between the input piston and output plunger and determine the force that the output plunger applies to the car.

Answer 1

Given ,

For Input Piston :

Force Applied on Input Piston , F₁= 41 N

Radius of input piston , r₁ = ?

Area of the input piston , A₁ =

For output plunger :

  

Force Applied on output plunger , F2= ?

Radius of output plunger , r₂= ?

Area of the output plunger , A₂ =

It is given in the question ,   .................(1)

Now since the sytem is closed , whatever pressure applied in the input piston will be wholly transmitted through the output plunger , hence we can write following equation :

Pressure on the input piston = Pressure felt by the output plunger

  

  

  

  

N

So the force that output plunger applies to the car is = 3032.36 N