# Linking Pressure, Force and Velocity

by rickya_23
Tags: equation, force, paintball, pressure, velocity
 P: 1 For a project, i have designed a brief which involves firing paintballs at a target. the paintballs are shot out of a tube which has linked to it a container in which the air pressure (psi) can be altered. it is this pressure that provides the force to propell the paintball towards the target. i have a light gate that will measure the velocity of the paintball as it leaves the tubing, a pressure pump with the ability to alter the psi of the air within the container and a force sensor linked to the target which will register the force of impact. i want to link the initial pressure within the container (psi) to the force this exerts on the paintball on release of the pressure using an equation. then the force to the velocity of the paintball using an equation. if anybody can provide equations, help or support it will be much appreciated. thanks
 P: 4 Hello rickya, Did you ever completed this project? Could you be so kind to send me the information or your findings? See my post :http://www.physicsforums.com/showthr...ight=paintball Thanks in advance. Geo
 P: 38 hi, This is the way i see it, it may be wrong, but i'll have a go. Firstly you need to know what velocity pressure is, this is 1/2PV^2, p= density of air 1.2 kg m3. this will give you the velocity pressure in Pascals, convert your Psi into Pascals which is 1 psi = 6.89476 Kpa, your then need to try to find the velocity of your air through tube. Then i would shoot the paint ball and measure the displacement, then i would use the equation of motion V^2 = U^2 + 2as and work it back to find acceleration, or use S= Ut + 1/2at^2 Force = MxA