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For a three-phase induction motor connected in star (Y) configuration and operating on a frequency f Hz network with a phase voltage V1​ V, slip s, and power factor cosϕ, we have approximate relationships that are valid near the nominal operating point for the phase current I1​ A, and for the electromagnetic torque T Nm in relation to the mechanical speed nmech​ rpm. The torque is given by T=−4.667⋅nmech​+7000 and the phase current by I1​=−nmech​+1500. The motor's total losses are Pα,mech​ W. The core losses and distributed losses are neglected. Given f=50 Hz, V1​=380 V, s=0.035,cosϕ=0.97, and mechanical losses Pα,mech​=550.Find me the angular velocity

For a three-phase induction motor connected in star (Y) configuration and operating on a frequency f Hz network with a phase voltage V1​ V, slip s, and power factor cosϕ, we have approximate relationships that are valid near the nominal operating point for the phase current I1​ A, and for the electromagnetic torque T Nm in relation to the mechanical speed nmech​ rpm. The torque is given by T=−4.667⋅nmech​+7000 and the phase current by I1​=−nmech​+1500. The motor's total losses are Pα,mech​ W. The core losses and distributed losses are neglected. Given f=50 Hz, V1​=380 V, s=0.035,cosϕ=0.97, and mechanical losses Pα,mech​=550.Find me the angular velocity

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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For a three-phase induction motor connected in star (Y) configuration and operating on a frequency f Hz network with a phase voltage V1​ V, slip s, and power factor cosϕ, we have approximate relationships that are valid near the nominal operating point for the phase current I1​ A, and for the electromagnetic torque T Nm in relation to the mechanical speed nmech​ rpm. The torque is given by T=−4.667⋅nmech​+7000 and the phase current by I1​=−nmech​+1500. The motor's total losses are Pα,mech​ W. The core losses and distributed losses are neglected. Given f=50 Hz, V1​=380 V, s=0.035,cosϕ=0.97, and mechanical losses Pα,mech​=550.Find me the angular velocity

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