A three-phase, 440-V, 60-Hz, wye-connected induction motor takes a stator current of 50 A at 0.8 power factor while running at its rated speed of 855 rpm. The stator loss is 2500 W, and the rotational losses are 3200 W. Calculate the efficiency of the motor.

A three-phase, 440-V, 60-Hz, wye-connected induction motor takes a stator current of 50 A at 0.8 power factor while running at its rated speed of 855 rpm. The stator loss is 2500 W, and the rotational losses are 3200 W. Calculate the efficiency of the motor.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter32: Three-phase Motors

Section: Chapter Questions

Problem 13RQ: A squirrel-cage induction motor is operating at 1175 RPM and producing a torque of 22 Ib-ft. What is...

See similar textbooks

Related questions

Q: A 240 V, 60 Hz, Delta connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

Q: Example A 250-W, 230-V, 50-Hz capacitor-start motor has the following constants for the main and…

Q: A 380 V, 60 Hz, Star connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

A: A 3 phase induction motor, star connected Operate at 870rpm Line voltage 380V 60Hz, 8 pole Per…

Q: A 6-pole, 230-V, 60-Hz, Y-connected, three-phase induction motor has the following parameters on…

A: Note: As per the rules we can answer only 3 sub-parts, please post the remaining sub-parts as the…

Q: A three-phase 2Jhp 220V 60HZ six pole Y-connected squirrel-cage induction motor has the following…

Q: A 240 V, 60 Hz, Delta connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

A: "Since you have posted a question with multiple sub parts, we will solve first four sub parts for…

Q: A 440-V, 60-Hz, 2-pole, Y-connected, three-phase induction motor has the following parameters in…

A: It is given that the rotational loss is 4% of the power developed, slip is 4% . Now for the…

Q: A 40Hp, 230V, 8 pole, 25HZ induction motor is running at 355 rpm at rate load. If the motor has the…

A: Given : Q=40Hp=29.828 kWV=230 VP=8f=25 HzN=355 rpmη=84.2%stator loss=1000 W Step 1: Calculate slip…

Q: A three-phase, 460-V, 50-Hz, four-pole Y-connected induction motor has the following parameters: Rs…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: The power input to a 500V, 50Hz, 6 pole, 3 phase squirrel cage induction motor running at 975 RPM is…

Q: Q18. What will be the operating power factor of a 3-phase induction motor, whose ratings are 230 V,…

A: In this question we need to find a operating power factor of a 3 phase induction motor

Q: A 208 V, 60 Hz, 2-pole, Y-connected induction motor is rated at 16 hp. Its equivalent circuit…

Q: A certain six-pole 440-V-rms 60-Hz three-phase delta-connected induction motor has Rs=0.08 ΩRr′=0.06…

A: The synchronous speed is The speed of the motor is given by, The reflected resistance, The…

Q: A 4-pole, 3-phase, 50 Hz induction motor at standstill has 120 V induced across its star-connected…

Q: A 480-V, 60-Hz, 50-hp, three-phase induction motor is supplying by 60 A at 0.85 PF lagging. The…

A: In the question, 480V, 60Hz, take 60A with 0.85PF lagging. Stator losses= 2kW Rotor copper losses…

Q: 4.3 The power supplied to a three phase induction motor is 32 kw and the stator losses are 1200 W.…

Q: of 0,0242 per phase and standstill etermine the speed at which maximum torque is developed. Ans[1440…

Q: A certain six-pole 440-V-rms 60-Hz three-phase delta-connected induction motor has Rs=0.08 ΩRr′=0.06…

A: Synchronous speed is given as,

Q: 3-Phase induction motor with 4-pole, 200v,50Hz, where the rotor impedance is 0.1+j0.9 and the ratio…

A: The solution can be achieved as follows.

Q: Find the motor speed, stator current, output power

Q: A 3 Phase ,4 Pole, 3300V,50 Ha Connected induction motor, has identical Primary and referred…

A: We have given in a three phase star connected induction motor , where; Phase voltage VP=3300 which…

Q: A three phase 220-V, 60 HZ, four-pole, Y-connected induction motor operating at 3% slip, has the…

A: Induction Motor: It is an asynchronous motor. In an induction machine we are providing AC electrical…

Q: H.W 1: A 380 V, 60 Hz, Star connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

A: Star connected 3 phase induction motor 8 pole, 380V line to line voltage, 60Hz frequency The motor…

Q: A certain eight-pole, 240-V-rms, 60-Hz, wye-connected, three-phase induction motor has Rs=0.5…

A: Input line voltage, VL = 240 V Stator resistance, Rs = 0.5 Ω Rotor resistance, Rr ‘= 0.5 Ω Stator…

Q: 1. A three phase, 20-hp, 60 Hz, 220-V, 4-pole induction motor is operated at rated voltage and rated…

A: during the calculation of torque and efficiency of the motor, there are various types of parameters…

Q: Problem 3 A 3-phase 2-pole induction motor is rated 190 V, 60 Hz, it is connected in Y, and has R2 =…

Q: A 380 V, 60 Hz, Star connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

A: Given, 380V, 60Hz, star connected, 800 rpm, 8-poles, Three phase induction motor parameters, R1 =…

Q: A 220Vrms, 1 ½ hp, 10, 60-Hz induction motor draws 7.6A when operating at rated conditions. The…

Q: Problem 2 A 3-phase 2-pole induction motor is rated 190 V, 60 Hz, it is connected in Y, and has R2 =…

A: It is given that:P=2V=190VR2=6.6Ω,R1=3.1ΩXm=190Ω,X2=10Ω,X1=3Ω

Q: A 460 V, 60 Hz, Star connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

A: Solution:- According to the given data, A 460 V, 60 Hz Three-phase induction motor has a star…

Q: 5. A6-pole, 50-Hz, 8-phase induction motor, running on full-load, develops a useful torque of 162…

A: As per the guidelines of Bartleby we supposed to answer first question only for solution of…

Q: Q18. What will be the operating power factor of a 3-phase induction motor, whose ra Hz, 120 hp, and…

A: In this question we will find operating power factor of induction motor... Note :- as per our…

Q: A two phase symmetrical induction motor has the following information: 1 Kw, 4 poles, 220V, 50Hz,…

A: Given: Vs=220Vr1+jx1=3+j3Ωr2+jx2=2+j2Ωxm=j60Ω

Q: An induction motor with a power rating of 37.5 kW, 4 poles operates at 50 Hz supply frequency. It…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A 240 V, 60 Hz, Delta connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

Q: A 110-V, 1-phase, 4-pole, 60-Hz induction motor has the following circuit constants: R1 = R2’ = 1.6…

Q: A 240 V, 60 Hz, Delta connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

Q: A 3-phase, 4-pole, 230-V, wound rotor induction motor has both its stator and rotor connected in Y.…

A: Given data- No. of Phase ϕ=3 No. of Pole P=4 Voltage V=230 v…

Q: A 240 V, 60 Hz, Delta connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

A: NOTE: Since you have posted a question with multiple subparts, we will solve the first three…

Q: A three phase, 20-hp, 60 Hz, 220-V, 4-pole induction motor is operated at rated voltage and rated…

A: As per our policy, i am attempting first three parts, Given data, f=60 HzV=220 VP=4R1=0.30 ΩR2=0.2…

Q: A 40Hp, 230V, 10pole, 50Hz three-phase induction motor is running at 585 rpm at rated load. If the…

Q: A 380 V, 60 Hz, Star connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

A: 380 line to line voltage, 60Hz frequency, 8 pole, 870rpm speed 3 phase induction motor parameters…

Q: A three-phase induction motor used for a commercial application in Oman runs at 580 rpm at no load…

A: Given: A three phase induction motor No load speed = 580 rpm Speed at full load = 552 rpm To…

Q: A 3-phase, 6 Pole, 50 Hz, 400 V induction motor takes a line current of 40 A at 0.8p.f. and runs at…

Q: Example -6. A three-phase, 60-Hz, four-pole induction motor runs at a no-load speed of 1790 r/min…

A: Number of poles P = 4 Frequency f = 50 Hz No load speed is given as, N0=1790 rpm Full load speed is…

Q: Q18. What will be the operating power factor of a 3-phase induction motor, whose ratings are 230 V,…

A: Here 3 phase induction motor is given and we have to find power factor as we know the rated power is…

Q: I. Starting Torque II. Maximum Torque III. Rated Torque

A: as per our guidelines ,we are supposed to do the first three subparts. kindly post the remaining as…

Q: A 3-phase induction motor having a synchronous speed of 1200 rpm draws 70kW from a 3-phase…

Q: A 240 V, 60 Hz, Delta connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

Q: The output power of a four-pole, 50 Hz, three phase induction motor is 100696 Watt. If the motor…

Concept explainers

Three Phase Induction Motor

The induction motor is an electric motor that runs on AC (alternating current) and it is of two type single phase motor that work on single-phase power supply and three-phase motor that work on three-phase power supply.

Question

A three-phase, 440-V, 60-Hz, wye-connected induction motor takes a stator current of 50 A at 0.8 power
factor while running at its rated speed of 855 rpm. The stator loss is 2500 W, and the rotational losses
are 3200 W. Calculate the efficiency of the motor.

Expert Solution

Step 1

Slip = (NS-Nr/Ns)×100

Input power = sqrt(3)×line voltage ×line current ×power factor.

Rotor input = stator input - stator losses.

Power developed = rotor input - rotor cupper losses.

Output power = power developed- rotational losses.

Efficiency = output power/input power.

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

What will be the operating power factor of a 3-phase induction motor, whose ratings are 230 V, 50 Hz, 120 hp, and 4-poles? Motor is operating at rated conditions with an efficiency of 92% and draws a line current of 260 A. The core loss and stator copper losses are 1710 W and 2830 W respectively. (a) 0.85 (c) 0.93 (b) 0.90 (d) 0.80
A large 3-phase, 4000 V, 60 Hz, squirrel-cage induction motor draws a current of 385 A and a total active power of 2344 kW when operating at full-load. The corresponding speed is accurately measured and is found to be 709.2 RPM. The stator is connected in wye and the resistance between two stator terminals is 0.10 Ω. The total iron losses are 23.4 kW and the windage and friction losses are 12 kW. Calculate the following: a) The power factor at full load.b) The active power supplied to the rotor.c) The total I²R losses in the rotor.d) The load mechanical power (kW), torque (kN-m) and efficiency (%).
A certain eight-pole, 240-V-rms, 60-Hz, wye-connected, three-phase induction motor has Rs=0.5 ΩRr′=0.5 Ω Xs=2 ΩXr′=0.8 Ω Xm=40 Ω Under load, the machine operates at 864 rpm and has rotational losses of 150 W. Find the power factor, output power, line current, copper losses, output torque, and efficiency.
3. A group of induction motors rated 2200-V, 3-phase, 60 Hz delivers a total of 600 HP and is operating at an average power factor of 0.8 lagging. If half of this total load is replaced by a group of synchronous motors operating at 0.8 leading, determine the difference in the line current? Assume all motors operate at an average efficiency of 90%.
Lesson: Electric Machines A three-phase star connected 380V, 10Hp, 60Hz, 1755 d/d and four-pole induction motor is operated at full load. Friction and wind losses are 600W. Stray load current losses are neglected. Find the rotor copper losses of the induction motor? a) 600 W b) 206 W c) 394 W d) 866 W e) 266 W
An approximate per phase equivalent circuit of a 3-phase, 220-V, wye-connected, 6 pole, 60 Hz induction motor is shown in figure below for which R1 = 0.3 ohm; X1 = 0.4 ohm; R’2 = 0.4 ohm; X’2 = 0.6 ohm; Xm = 15 ohms. For the given numerical values calculate the total developed(electromagnetic) torque in (kg-cm) .The motor speed is 1080 rpm.
An induction motor draws 50 A from a 450 V, three-phase line at a lagging power factor of0.75. Its stator and rotor copper losses are 950 W and 500 W, respectively. Its core lossesare 400 W, the friction and windage losses are 150 W. Determine the following(a) The air-gap power and the developed mechanical power.(b) The shaft output power and the motor efficiency
A 400 V, 4 pole, 50 Hz, three-phase star connected induction motor has the following impedances per phase as referred to the stator: R1= 0.6 Ω, X1= 1.1 Ω, Xm=25 Ω, R2’= 0.3 Ω, X2’=0.5 Ω The mechanical losses are 1000 W and stator core losses are 500 W. The slip is 3%. Determine, Speed of the motor Stator current and power factor Mechanical power developed Output power Efficiency of the motor
A 6-pole, 3-phase induction motor develops a power of 22.38kW, including mechanical losses which total 1.492 kW at a speed of 950 rpm on 550-V, 50 Hz mains. The power factor is 0.88. Calculate for this load (a) the slip (b) the rotor copper loss (c) the total input if the stator losses are 2000 W (d) the efficiency (e) the line current (1) the number of complete cycles of the rotor electromotive force per minute. [(a) 0.05 (b) 1175 (c) 25.6 kW (d) 82% (e) 30.4 A (1) 150
A 400 V, 50 Hz, 30 hp, three-phase induction motor is drawing 50 A current at 0.8 power factor lagging. The stator and rotor copper losses are 1.5 kW and 900 W respectively. The friction and windage losses are 1050 W and the core losses are 1200 W. Find the air-gap power of the motor.
A certain six-pole 440-V-rms 60-Hz three-phase delta-connected induction motor has Rs=0.08 ΩRr′=0.06 Ω Xs=0.20 ΩXr′=0.15 Ω Xm=7.5 Ω Under load, the machine operates with a slip of 4 percent and has rotational losses of 2 kW. Determine the power factor, output power, copper losses, output torque, and efficiency.
Consider a 480-V, 50-Hz, three-phase induction motor that consumes 80 A at 0.85 PF lagging The stator and rotor copper losses are 2 kW and 800 W. The friction and windage losses are 600 W. The core loses are 1.6 kW. The stray losses are negligible Find: • The air-gap power PAG • The converted power Pconv • The output power Pout • The efficiency, η, of the motor