Question

Exerting a force of 94 N on the circular piston of a syringe causes a pressure increase in the barrel of 1.3 atm. What is the diameter of the piston?

Answer 1

P = 1.3 atm = 1.3*10^5 N/m^2

P = Force/Area = 94 N/A

Solve for the area A, and use that to get the diameter.

A = 94 N/(1.3*10^5 N/m^2)
= 7.23*10^-4 m^2
= 7.23 cm^2

Answer 2

Pi/4 d^2= A