Answer is: $637.28; just did the math but i really don’t want to type it all out.
Answer:
<em>T = 25.41 Nm</em>
Explanation:
Calculating Nsync (Synchronous Speed):



Calculating s (Slip):
![s = (Nsync - Nm) / Nsync \\[tex]s = (3600-2464)/3600\\s = 0.3156](https://tex.z-dn.net/?f=s%20%3D%20%28Nsync%20-%20Nm%29%20%2F%20Nsync%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Btex%5Ds%20%3D%20%283600-2464%29%2F3600%5C%5Cs%20%3D%200.3156)
Calculating Vth (Thevenin Voltage):

Calculating Rth (Thevenin Resistance):
Calculating Xth (Thevenin Reactance):
Xth = Xs = 1.3 ohm
Calculating Torque:
![T = (3Vth^{2}Rr/s) / (Wsync[(Rth+Rr/s)^{2} + (Xth + Xr)^{2}])\\T = (3*205.39*0.7/0.3156) / 377[(2.22+0.7/0.315)^{2} + (1.3+1.8)^{2}]](https://tex.z-dn.net/?f=T%20%3D%20%283Vth%5E%7B2%7DRr%2Fs%29%20%2F%20%28Wsync%5B%28Rth%2BRr%2Fs%29%5E%7B2%7D%20%2B%20%28Xth%20%2B%20Xr%29%5E%7B2%7D%5D%29%5C%5CT%20%3D%20%283%2A205.39%2A0.7%2F0.3156%29%20%2F%20377%5B%282.22%2B0.7%2F0.315%29%5E%7B2%7D%20%2B%20%281.3%2B1.8%29%5E%7B2%7D%5D)
T = 280699 / 377 [19.69 + 9.61]
<em>T = 25.41 Nm</em>