A 3-Φ, 400 V, 50 Hz induction motor draws a power input of 20 kW at its full load speed of 980 r.p.m. The total stator loss is 800 W and friction and windage loss is 1000 W. Calculate (i) slip (ii) rotor copper loss per phase (iii) shaft torque (iv) efficiency.

A 3-Φ, 400 V, 50 Hz induction motor draws a power input of 20 kW at its full load speed of 980 r.p.m. The total stator loss is 800 W and friction and windage loss is 1000 W. Calculate (i) slip (ii) rotor copper loss per phase (iii) shaft torque (iv) efficiency.

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: TOPIC: AC Machines - Induction Motor A three-phase, 3 KV, P=24, 50Hz, Y-connected slip ring IM…

A: The solution is given

Q: A 230 V, 50 Hz, 4-pole, single-phase induction motor is rotating in the clockwise (forward)…

A: According to the question following data is given of single phase induction motor; V=230 V, F=50 Hz,…

Q: The power input to the rotor of a 440-V, 50-Hz, 6-pole, 3-phase induction motor is 100 kW. The rotor…

A: In this question, We need to determine the slip, rotor speed and mechanical power develop?

Q: (a) A4 pole, 380 V, 50 Hz, three-phase induction motor delivers an output power of 15 kW when the…

A: In this question, We need to determine the slip, motor speed, and motor input power? And also…

Q: A 180 watts, 110 V, 60 Hz, 4-pole, 1-phase induction motor has the following constants: R1= 2.02 Ω,…

A: Given: Supply voltage V1=110 V Supply frequency f=60 Hz Number of Poles P=4 Core loss Pc=24 W…

Q: The total losses of 3-phase induction motor at 4A armature current and 1.142 rotor external…

A: The solution can be achieved as follows.

Q: The power supplied to a three-phase induction motor is 50 kW and the stator losses are 2 kW. If the…

A: Given values are - Pin=50kWStator losses=2kWSlips=4%=0.04Friction+Windage Loss=1kW

Q: Find the mechanical power output of the 185W, 110V, 60 Hz, single-phase induction motor whose…

A: It is given that:Xm=53.5Ω xm=Xm2=53.52=26.7Ωr2=R22=3.562=1.78Ω x2=X22=2.562=1.28Ωlet s=0.05

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

Q: The rotor of a 6-pole, 50-Hz induction motor is rotated by some means at 1000 r.p.m. Compute (i)…

A: Ns=120×fPWhere,Ns=Synchronous speedf=Frequency of operationP=Number of poles in the machine Given,…

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

Q: A 6 pole, 50 Hz, 3 phase induction motor running on full load develops a useful torque of 150 N.m at…

A: The solution can be achieved as follows.

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: A three-phase Y-connected 220-V (line-to-line) 7.5-kW 60-Hz six-pole induction motor has the…

A: Speed, output power, and torque is determined as shown below for the given data

Q: A three-phase, 50 Hz, 160 kW, 400 V (line-line rms) delta connected squirrel cage induction machine…

A: Given, A 3-phase delta connected squirrel cage induction machine, Rated frequency, f=50 Hz Rated…

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: A 40 h.p. (29.84 kW), 50 Hz, 6 pole, 420 V, 3-phase, slip ring induction motor gave the following…

A: No load Power factor, p.f=0.15 ϕ=cos-10.15=81.37°short ckt p.f,p.f=0.25ϕs=cos-10.25=75.52° SC…

Q: A 4 pole three-phase cage rotor induction motor running at full-load draws a stator current of 80 A…

A: A 4 pole three-phase cage rotor induction motor running at full-load draws a stator current of 80 A…

Q: H.W 2: A 240 V, 60 Hz, Delta connected, 870 r.p.m., Eight poles, Three-Phase Induction Motor has the…

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

A: The input power of the induction motor is given by the expression, Pin=3VLILcosϕ Plugging the known…

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: A 480 Volts, 60HZ, 50Hp, three-phase induction motor is drawing 50 Amperes at 0.85 power factor…

Q: (. What will be the air gap power (in watts) developed by a 3-phase induction motor, whose ratings…

A: It is given that: Terminal Voltage=Vt=230 (line voltage)Vt(phase)=Vt3=2303=132.79 VOutput…

Q: Q2/ The gross power absorbed by the reverse and forward fields of a single- phase induction motor is…

Q: A 3-phase 6-pole Y connected induction motor is supplied from a 3-phase 50 Hz AC source. it draws an…

A: synchronous speed=120×fP. power input to rotor= power input to stator- stator losses. Mechanical…

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: induction motor has

Q: ctor of 0.83 lagging from a 440 V, 50Hz supply. Under this condition the stator loss is 4 kW, the…

Q: Solve the following problems with complete solutions using two(2) decimal digits. 1. The rotor of a…

Q: e-phase 460-hp, 415 V, 4-pole, 50 Hz induction motor is operating at overvoltage of 480 0% of the…

Q: In a 6-pole, 50 Hz, single-phase induction motor, the gross power absorbed by the forward and…

A: In this question, We need to determine the shaft torque? Shaft torque = power/w

Q: Q17. What will be the locked rotor torque developed at unity machine constant by single phase…

A: Given, Zm =1.5+j2.5Za =8+j8so,Im =1201.5+j2.5=41.60∠-59.03oIa =1208+j8=10.60∠-45o

Q: 24. What will be the air gap power (in watts) developed by a 3-phase induction motor, whose ratings…

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: induction

Q: Find the line current, shaft speed, load torque, induced torque, and rotor frequency of an induction…

Q: 4-pole DC in series motor, 180 Nm torque. The coil is wavy, at 600 total conductors, and the…

Q: On the plate of a star-connected ring induction motor; 7.5 kW, 16 A, 380 V is written at 1430 rpm,…

Q: Q2 The equivalent circuit of a 4 pole, three phase, 60 hz induction motor is shown in the circuit…

A: The solution is given below

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: A three-phase, 230 v, 30 hp, 60 Hz, six-pole induction motor is operating with a shaft load that…

A: Disclaimer: Since you have asked multipart questions, we will solve the first three subpart for…

Q: Q2/ The gross power absorbed by the reverse and forward fields of a single-phase induction motor is…

Q: Example 6–3. A 460-V, 25-hp, 60-Hz, four-pole, Y-connected induction motor has the following…

A: In the equivalent circuit thr rotor impedance is:…

Q: Homework 2 A three-phase, two-pole, 35 hp, 480 V, 60 Hz, Y-connected induction motor has the…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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

Q: A 40 h.p. (29.84 kW), 50 Hz, 6 pole, 420 V, 3-phase, slip ring induction motor gave the following…

A: From the given data of no load test No load power factor cosθ0=0.15 From the given data of S.C.…

Q: A Vconnected, 400 V, four-pole, 50 Hz induction machine has the following parameters Xs=1.32, Xr=12,…

A: A 3 phase induction motor has all parameters. Find the input power, power factor and output power…

Q: A 480V, 60Hz, six-pole, Y connected cage rotor induction motor has the following parameters in ohms…

A: Since you are asking a question with multiple sub parts we will answer the first three for you From…

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

100%

A 3-Φ, 400 V, 50 Hz induction motor draws a power input of 20 kW
at its full load speed of 980 r.p.m. The total stator loss is 800 W
and friction and windage loss is 1000 W. Calculate (i) slip (ii) rotor
copper loss per phase (iii) shaft torque (iv) efficiency.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

Name three factors that determine the torque produced by an induction motor.
A 4 pole three-phase cage rotor induction motor running at full-load draws a stator current of 80 A at apower factor of 0.83 lagging from a 440 V, 50Hz supply. Under this condition the stator loss is 4 kW,the rotor loss is 1.5 kW, and the percentage slip is 5%. If the shaft output power is 32 kW, calculate (a)the shaft output torque, (b) the efficiency, and (c) the mechanical (friction and windage) loss.
A 6 pole, 50 Hz, 3 phase induction motor running on full load develops a useful torque of 150 N.m at a rotor frequency of 1.5Hz, if the mechanical torque lost in friction be 10 N.m, determine the efficiency when the total stator loss is 700W
Find the line current, shaft speed, load torque, induced torque, and rotor frequency of an induction motor given the following information: a) A total of six poles b) 67 hp c) 440V d) S of 6% e) Friction and gale losses of 300 W f) 600 W core losses g) Efficiency of 80% h) Power factor of 0.8
A 480V, 60Hz, six-pole, Y connected cage rotor induction motor has the followingparameters in ohms per phase referred to the stator: R1=0.5ΩX1=1.1Ω R2=0.45ΩX2=0.6Ω Xm=30Ω The total rotational losses (friction, windage, and core losses) are 1100W and are assumedto be constant. For a rotor slip of 2.2% at the rated voltage and rated frequency, calculate:d) The air-gap power (Pag) and the developed mechanical power (Pconv)e) Developed electromechanical torque, and the output mechanical torquef) Efficiency
Find the line current, shaft speed, load torque, induced torque and rotor frequency of an induction motor having the following information: A total of six poles 67 hp 440V S of 6% Friction and gale losses of 300 W 600 W core losses Efficiency of 80% Power factor of 0.8
A three-phase Y-connected 230-V (line-to-line) 7.5-kW 60-Hz six-pole induction motor has the following parameter values in Ω/phase referred to the stator: R1 = 0.294, R2 = 0.144 X1 = 0.503, X2 = 0.209, Xm = 13.25 The total friction, windage, and core losses may be assumed to be constant at 403 W, independent of load. For a slip of 4 percent, determine: (a) stator current, power factor, (b) output torque and power,(c) efficiency when the motor is operated at rated voltage and frequency, (d) the load component 12 of the stator current, the induced torque Tind, and the converted power Pconv for a slip s= 0.04,(e) the maximum torque and the corresponding speed; and (f) the starting torque Tst and the corresponding stator load current 12 start
TOPIC: AC Machines - Induction Motor A three-phase, 3 KV, P=24, 50Hz, Y-connected slip ring IM has a rotor resistance of 0.015 ohm and a stand still reactance of 0.265 ohm per phase. Full load torque Is obtained al a speed of 245 rpm. Neglect stator impedance, Calculate (A) Ratio of Maximum Torque to Full load Torque (B) Speed at Maximum Torque
The Power supplied to a Three - Phase Induction Motor is 50 KW and the Stator Losses are 2 KW. If the slip is 4 % , determine the : ( a ) Rotor Copper Loss , ( b ) Total Mechanical Power Developed by the Rotor . ( c ) Output Power of the Motor if Friction and Windage Losses are 1 KW , and ( d ) Efficiency of the Motor , neglecting Rotor Iron Losses .
A 208 V, 60 Hz, 2-pole, Y-connected induction motor is rated at 16 hp. Its equivalentcircuit components have the following values:(R1 = 0.200 ohm, X1 =0.410 ohm); (R2 = 0.120 ohm, X2 = 0.410 ohm); Xm = 15.0 ohm.Rotor slip is 4.5% at the rated voltage and frequency. Mechanical and core losses are 230Wand 200W respectively. Find (a) rotor speed (b) line current and motor p.f (c) Air-gap andconverted power (d) Induced torque.
Solve the following problems with complete solutions using two(2) decimal digits. 1. The rotor of a 220-V., 60 Hz, 4-pole induction motor has a power input of 80 kW is observed that the rotor emf makes 90 cycles per minute. Calculate the rotor copper loss. 2. A 40-HP, 230-V., 8-pole, 25 Hz three-phase induction motor is running at 355 rpm at rated load. The torque lost by friction is 24 N-m. If the stator losses amount to 1,000 W., calculate the efficiency of the motor at this load. 3. A 6-pole, 50 Hz, 3-phase induction motor runs at 960 rpm while delivering a shaft torque of 120 N-m. If friction and windage loss amount to 180 W., determine the rotor copper loss.
A star-connected induction motor 3-phase, has the following equivalentcircuit parameters per phase:and R1 = R2 =0.8ohm; x1 = x'2 = 3.5ohmand 200-hp, 3300-V, Calculate the slip at full load if the friction andwindage loss is 3 kW. How much extra rotor resistance would be necessaryto increase the slip to three times this value with the full-load torquemaintained? How much extra stator resistance would be necessary toachieve the same object and what loss of peak torque would result?