12p3phPMDC said:
When I saw this, two things stuck in my mind:
1 - How come after all these years, I've never seen this equation?
2 - Why is my gut feeling saying "This is wrong"?
I'm a CE from way back (specialty is structures, hence forces, stresses, dynamics etc). Not being a ME means I may have missed this as a short-cut equation. But it bugged me so I Googled "Torque = 5250 x HP / rpm" and found lots of web sites which all seem to have copied off the same original source. The gist of them is "Those guys that say 'Torque not power gives acceleration' are full of BS." Guess what?... they're wrong. I've recently posted "Crudely stated torque gives acceleration; power gives speed." So I'm one of those guys they don't like.
The equation is for a steady state situation where rpm = constant (i.e. no acceleration). So what does this tell you about real world acceleration? What does it tell you if "torque x 0 = Power"? - that's the condition where an electric motor generates maximum torque. That equation suggests that regardless of torque, power is zero if the motor is not turning. However, if you stall a motor, the power, ultimately - if nothing burns out before you reach steady state - is V^2/R, where R is the resistance of the coils in the motor. V is not zero just because rpm is zero. The equation can't take into account the fact that real world power is more than just mechanical power. Nor does it give us the
maximum torque.
The previous calculation used an arbitrary rpm and power setting to determine the torque at that state. But what is the torque when the power is only generating heat and not moving the shaft? I know it's the sum of the moments due to the magnetic fields of the coils attracted to the magnets. But that is not dependent on total power. That peak torque, when accelerating from a standing start, is what is going to shear off the pins. Since torque increases with decreasing rpm (for a given power), then that torque is going to be greater than 4 lb-ft and the load on the shear pin will be higher than calculated.
I retract any statement I made about the safety factor being closer to 7.5. That was based on incorrect input.
So - how do you determine the torque at zero RPM without doing the magnetic field calcs?