A3-phase induction motor with 4 poles is connected to a voltage source with an amplitude of 209 vrms and a frequency of 120 hz. the circuit has negligible line impedance and you can assume the simplified circuit model is valid. the motor has rs = 2.3 latex: \omegaω, r'r = 0.7 latex: \omegaω, xs = 1.3 latex: \omegaω, x'r = 1.8 latex: \omegaω , and xm = 76 latex: \omegaω. in addition, the motor is spinning at a speed of 2,464 rpm. what is the output torque at the specified speed in nm?

T = 25.41 Nm

Explanation:

Calculating Nsync (Synchronous Speed):

Calculating s (Slip):

Calculating Vth (Thevenin Voltage):

Calculating Rth (Thevenin Resistance):

Calculating Xth (Thevenin Reactance):

Xth = Xs = 1.3 ohm

Calculating Torque:

T = 280699 / 377 [19.69 + 9.61]

T = 25.41 Nm

answer:

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