Calculating Force for Tattoo Machine Solenoids

[d1983]

I'm currently in the process of redesigning the solenoids for a tattoo machine company. I was wondering if anybody was aware of a formula to find the amount of force that the solenoid would draw the armature. I can figure out just about every variable that I think I'd need: flux density, air gap length etc. I just need some way to relate that to the amount of force it would create.
Thanks everyone.

 

[Danger]

This should cover your needs. Welcome to PF.
https://www.physicsforums.com/showthread.php?t=123914&highlight=solenoid+force"