# A piston, A,has a diameter of 0.50 cm. A second piston, B has a diameter of 3.7 cm.Determine the force, F, necessary to support the 500.0 N weight in the absence of friction Answer in Newtons

*print*Print*list*Cite

Expert Answers

ndnordic | Certified Educator

You did not state on which piston the 500 N weight was placed.

Case 1: 500 N weight is on piston A.

In general, The P on A (Pa) = P on B (Pb)

But pressure = F/A, where F is the force in Newtons, and A is the area of the piston's surface, so you have:

Fa/Aa = Fb/Ab

A = pi*r^2

Set up your equation, and Solve for Fb:

500/pi*(.25)^2 = Fb/pi*(1.85)^2

F = 27380 N

Case 2: 500 N weight is on piston B

Fa/pi*(.25)^2 = 500/pi*(1.85)^2

F = 9.1 N

By putting the weight on the larger piston, you gain a large mechanical advantage.