Magnetic Force calculation

I'd have to look up just how to make such a calculation but off the top of my head don't the voltage (and current) have to be specified? Also doesn't the coil shape and size and magnetic material effect the efficiency and so the force?

Thanks, Current is 40A, Max voltage 55V, shape is circular. Size of coil I already mentioned for coil information.

How magnetic force can be calculated? I have vibration shaker armature coil. Its magnetic force is 3.7 KN but as per my calculation it is only 60 N. It has two circular coil in series, first is internal coil having 31 turns with diameter 225 mm, length is 82 mm, other is outer coil having 36 turns with diameter 231 mm length is 92 mm.Why my calculation is not matching for Maximum current (40 A) with the manual of the shaker?

well ... The max voltage isn't necessarily the applied voltage but assuming it were you have 2200 W. this can be converted to newton meters/second but that's no what you are asking for. The lifting force is a very different thing and depends on so much that there is probably no easy answer. The force exerted will depend on the size of the object, the type of material, the distance from the coil so there is really no answer to this question so far as I know.