Question

A force of 2 x ${10}^4$ is applied to the larger piston of a hydraulic machine of $900c{m}^2$ in area. Neglecting friction, calculate the force exerted on the smaller piston of area $10c{m}^2$ to accomplish this task.

• A. 222.2 N
• B. 318.2 N
• C. 118.2 N
• D. 158.2 N

Answer 1

The correct option is A 222.2 N

given$F_1=2\times {10}^{4}N$

$A_1=900c{m}^2$

$A_2=10c{m}^2$

from $\frac{F_1}{A_1}=\frac{F_2}{A_2}$

$F_2=\frac{F_1{A}_2}{A_1}=\frac{2\times {10}^4\times 0.1}{0.9}=222.2N$