Question

If the area of A1=0.005m^2 and the area A2=0.10m^2, external input force F1=100N. Calculate the output force F2.​

Answer 1

`F_2 = 2000N`

Step-by-step explanation:

Given

`A_1 = 0.005m^2`

`A_2 = 0.010m^2`

`F_1 = 100N`

Required

Calculate
`F_2`

The solution to this question is Pascal's principle of pressure

Pressure is calculated using:

`Pressure (P) = (Force(F))/(Area(A))`

For the input force:

`P_1 = (F_1)/(A_1)`

Substitute values for F1 and A1

`P_1 = (100)/(0.005)`

`P_1 = 20000`

For the input force:

`P_2 = (F_2)/(A_2)`

Substitute value for A2

`P_2 = (F_2)/(0.10)`

The pressure in the system is constant.

So:

`P_1 = P_2 = 20000`

Substitute 20000 for P2

`20000 = (F_2)/(0.10)`

Make F2 the subject

`F_2 = 20000 * 0.10`

`F_2 = 2000N`

Hence, the output force is 2000N