A spherical hand-held pump with a radius r is used to pump air into a cube with a length L. The pump and cube are connected together by rubber tubing. Express the pressure stored in the box as a function of the number of times the pump is fully squeezed.
Imagine the situation as that of a sphygomanometer without the cuff and the gauge replaced by a cube box.
I used Pcube*Vcube=Ppump*Vpump
Therefore: Pcube = (Ppump*Vpump) / Vcube
The Attempt at a Solution
I am assuming the cube and pump are at the same temperature and that the pump holds 1 atm pressure when it is not compressed. My expression is the following:
P(x) = ((4/3)(pi)(r^3) * (1 atm) * (x)) / (L^3)
where x is the number of times the pump is squeezed.
I am not confident in my assumption that the initial pump pressure is 1 atm.
Anyone know how to express this situation?
65.1 KB Views: 251