Question

In a hydraulic lift, the small piston has an area of $2c{m}^2$ and the large piston has an area of $80c{m}^2$. What is the mechanical advantage of the hydraulic lift?

• A. $40$
• B. $42$
  
• C. $10$
  
• D. $4$
  

Answer 1

The correct option is A $40$

Area of small piston is $2c{m}^2$ and the area of large piston is $80c{m}^2$

We know that $P=\frac{F}{A}$

$\Rightarrow \frac{P_{in}}{P_{out}}=\frac{F_{in}}{F_{out}}\times 40$

Therefore the mechanical advantage is $40$

Therefore correct option is $A$