A small piston has a diameter of 2 cm. The larger piston has a diameter of 6 cm. How much more force can the

Question

larger piston exert compared with the force applied to the smaller piston?

Answer 1

Let

Fs = force exerted on the smaller piston

Fb = force exerted on the larger piston

Force = Pressure * Area

OR

Pressure = Force/Area

ASSUMING that the same pressure is applied on the pistons, then

Fs/As = Fb/Ab

where

As = area of the smaller piston = pi(2^2) = 4pi

Ab = area of bigger piston = pi(6^2) = 36pi

Rearranging the above ratio,

(Fb/Fs) = (Ab/As) = 36pi/4pi

(Fb/Fs) = 9

ANSWER: The larger piston can exert a force of 9 times more than the smaller piston.

Answer 2

force(net) =pressure force * circumferential area

Hold on pie(1)^2...and pie(3)^2, that will be the real difference in forces when both are compared.

Therefore its 9 times. When the same pressure force is applied.