Hi folks, I have a ‘kinda’-mathematical/physics problem here which im hoping somebody can help shed some light on.
Basically, I have a pressurized lid, with a diaphragm inside it (green), and a ‘pin’ attached to the underside of the diaphragm (red). As the pressure in the lid increases (light blue), the diaphragm stretches down, and the pin moves down with it, and a dowel (pink) marks the pin. When the pressure is relieved, a spring (brown) under the red pin pushes the diaphragm back into its natural position. The pressure in the system is having to force down against the pressure of the spring.
I want to work out how far down the pin will travel, for any given psi (realistically 0 – 30 psi), so for example if 5 psi is applied, the pin will move down 3mm, if 10psi is applied the pin will move down 7mm, etc etc.
My question is, does the size of the diaphragm make a difference to the distance the pin will travel, for a given pressure? E.g, if 15psi is applied to a diaphragm 10cm in diameter, will the pin move down more/less/the same as if the diaphragm was 20cm in diameter?
Any questions just ask, I know it’s a bit of an odd/confusing one!