single-phase, 1/4 hp, 230 V, 60 Hz, four-pole, 1710 rpm induction motor has the following equivalent circuit parameters for the main winding: R1m=9.5Ω, R02=10.8Ω, X1m=X/2=12Ω, Xmag=260Ω At 230V and rated speed, the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to an 1 φ, 230V, 60Hz supply and runs at the rated speed. Determine: a) The slip. b) The motor current. c) The input power factor. d) The input power. e) The developed torque. f) The output shaft power and shaft torque. g) The efficiency. h) The rotor circuit frequencies and the rotor cu-losses. i) The ratio of the forward flux to the backward flux.

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
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Chapter8: Basic Electric Motors
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Problem 28RQ: What are the advantages and disadvantages of using the following types of motors? shaded-pole...
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16. A single-phase, 1/4 hp, 230 V, 60 Hz, four-pole, 1710 rpm induction motor has the following equivalent circuit parameters for the main winding: R1m=9.5Ω, R02=10.8Ω, X1m=X/2=12Ω, Xmag=260Ω At 230V and rated speed, the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to an 1 φ, 230V, 60Hz supply and runs at the rated speed. Determine:
a) The slip.
b) The motor current.
c) The input power factor.
d) The input power.
e) The developed torque.
f) The output shaft power and shaft torque.
g) The efficiency.
h) The rotor circuit frequencies and the rotor cu-losses.
i) The ratio of the forward flux to the backward flux.

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