Question

What force on smaller piston of area 25 cm² will balance weight of 2000 N on larger piston of area a 100 cm² ?

Answer 1

In a hydraulic machine,a force of 2 N is applied on the piston of area of cross section 10 cm2.What force is obtained on its piston of area of cross section 100 cm2

Answer 2

Force on the smaller piston = 480 N

Explanation:

Pressure = Force / area

In a piston, we know that Force (smaller piston) / area of smaller piston = Force larger piston) /  area of larger piston

Area of smaller piston, A1 = 24 sq. cm

Area of larger piston, A2 = 100 sq. cm

Force of larger piston, F2 = 2000 N

We know that F1 / A1 = F2 /A2

F1 = F2 * A1 / A2

= 2000 * 24 / 100

Force on the smaller piston = 480 N