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
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.