Question

If you 50 KW motor 1500 RPM
Can you go with a gear box from 1500 RPM to 150 RPM . How much torque you gain by steping down 10/1 ?

Answer 1

Yes, you can step down 1500 RPM to 150 RPM. The energy in equals the energy out (assuming friction losses are negligible). On the inlet side, if your applied torque is T_i, then the energy input in one minute is\[E_i = T_i * 1500 rev * [2*\pi (radians/rev)]\]and the energy out in one minute is \[E_o = T_o * 150rev *[2∗π(radians/rev)]\] then if you set E_i equal to E_o and do some algebra to solve for T_o in terms of T_i. You will find that \[T_o / T_i = 10 \] so the output torque is ten times the input torque.