Question

Two pistons of hydraulic press have diameters of $30cm$ & $2.5cm$. What is the force exerted by a large piston , when $50kg$ weight is placed on the smaller piston?

• A. $7200kgwt$
• B. $7800kgwt$
• C. $7000kgwt$
• D. $8000kgwt$

Answer 1

Answer: (A)

$7200kgwt$

As in hydraulic press, pressure will be equally transferred

$\Rightarrow P_1=P_2$

$\Rightarrow \frac{50\times g}{A_1}=\frac{m\times g}{A_2}$

$\Rightarrow \frac{50\times 10}{(1.25{)}^2\times \pi }=\frac{m\times 10}{(15{)}^2\times \pi }$

$\Rightarrow m=7200$kg

So, $7200$kg weight should be put on a larger piston.