# Force caused by pressure

I would like to get one thing straight in my mind:

If I fill a balloon let's say with 10 bar of air. Is there a formula that relates the force acting on a point $$F(x)$$ where $$x$$ is a point on the balloon to the pressure? Especially, it is actually not quite clear to me if the force that a certain point of the balloon experiences is the same everywhere or whether it is the same for all points?-Clearly the diameter is very different for our balloon, so I do not know. I expect the total force to be $$F = pA$$ where $$A$$ is the area of the surface, but I don't know if the pressure at a single point of the surface is the same for every point?

Consequently, the equation you need $$F(x)$$ is simply what you had, and that is $$F(x)=PA$$ where $$P$$ is pressure and $$A$$ is an area on the inner surface of the balloon, or if you constructed an imaginary area $$A$$ anywhere at any point $$x$$ inside the balloon, the force imposed by the gas molecules there would still be the same.
• I do not quite understand what the $A$ is you are taking now though. Apr 4 at 16:00