Question

A hydraulic press has a large circular piston of radius 0.8m and circular plunger of radius 0.1m . A force of 200N is exerted by a plunger . Find the force exerted on the piston

Answer 1

Answer:

$F_{o}=12800 N$  

Explanation:

Let's use the Pascal principle:

$P_{i}=P_{o}$

$\frac{F_{i}}{A_{i}}=\frac{F_{o}}{A_{o}}$

Where:

F(i) is the input force, 200 N

F(o) is force exerted on the piston  

A(i) is the area of the plunger (A =πr(i)²)

A(o) is the area of the piston (A =πr(o)²)

$F_{o}=\frac{A_{o}F_{i}}{A_{i}}$

$F_{o}=\frac{r_{o}^{2}F_{i}}{r_{i}^{2}}$

$F_{o}=\frac{0.8^{2}*200}{0.1^{2}}$                

$F_{o}=12800 N$              

I hope it helps you!