Question

Calculate the applied force to the piston with a 12cm radius required to elevate a weight of 2.0X104N by the piston with a 36cm radius in a hydraulic lift.

2.9 × 103 N

5.0 × 103 N

6.7 × 103 N

2.2 × 103 N

Answer 1

Option D is the correct answer.

Step-by-step explanation:

Refer the figure given.

By Pascal's principle we have

`(F_1)/(A_1)=(F_2)/(A_2)`

F2 = 2 x 10⁴ N

`A_1=(\pi* (12* 10^(-3))^2)/(4)=1.13* 10^(-4)m^2\\\\A_2=(\pi* (36* 10^(-3))^2)/(4)=1.02* 10^(-3)m^2`

Substituting

`(F_1)/(1.13* 10^(-4))=(2* 10^4)/(1.02* 10^(-3))\\\\F_1=2.22* 10^3N`

Option D is the correct answer.