motor torque equation for ball recirculation screw

[Stefano_Berti]

Good morning.

I ask for clarifications about the equation to find the torque to the engine for a screw recirculation of spheres, it is not clear to me because the axial force is multiplied in step; I'd have been waiting for the spider of the vine.
I can't understand the reference to that "p/(2*pi)"

Thank you.

 

[Stan9411]

is a simple energy relationship that transforms rotational power into linear power

each turn of the screw, therefore every 2*pi radianti, the cart advances one step, i.e. p mm

torque by rotation must be equal to force by advance, net of yield.
Thus t*2*pi* mu = f*p , with mu which is direct efficiency.

 

[Stefano_Berti]

I understand.
Thank you.