DutchRailnut wrote:A passenger unit like the P32acdm maxes out at 42 000 lbs on coupler
Ummmm....that value you mention is "drawbar pull", not torque!
Torque is different animal entirely. And torque depends on
WHERE in the locomotive power system you measure it.
----
At the prime mover figuring torque is straightforward:
Torque = Horsepower/RPM x 5,252.
Example: A 4,000 HP diesel running at 975 RPM will develop
21,547 ft-lb of torque at the crankshaft at maximum power.
----
For traction motors it's a bit more complex. Torque depends on horsepower, motor-to-axle gear ratio, rail wheel diameter, total number of traction motors and locomotive speed.
Example (neglecting electrical and frictional losses and doing the math offline...): A 4,000 HP, 6 axle locomotive with 61:16 gearing, 42" wheels, and a speed of 8 MPH, the torque developed by each traction motor will be a bit over
14,000 ft-lb.
Note that for a 6 axle locomotive 8 mph is a typical maximum drawbar pull point. This then is also the point where max traction motor torque occurs. At lower speeds input horsepower must be reduced proportionally - otherwise wheel slip and/or traction motor overload will occur. And at higher speeds and constant input HP, torque decreases as speed increases as described in the equation above. ...FB