Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Ind...
Start Learning for Free
A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______
Correct answer is '120'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed ...
Full load speed given as 1440 rpm
Rotor voltage frequency = s × f = 0.04 × 50 = 5%
2 cycles/sec
⇒ 2 × 60 cycle/min = 120 cycles/min
Most Upvoted Answer
A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed ...
Explanation:
Given parameters are:
- Power (P) = 1000 hp
- Number of poles (p) = 4
- Voltage (V) = 440 V
- Frequency (f) = 50 Hz
- Speed (N) = 1440 rpm
We know that the synchronous speed of an induction motor is given by the formula:
Ns = 120f/p
where Ns is the synchronous speed in revolutions per minute (RPM), f is the supply frequency in hertz (Hz), and p is the number of poles.
We can calculate the synchronous speed of the motor as follows:
Ns = 120 x 50/4
Ns = 1500 rpm
The actual speed of the motor (N) is given by the formula:
N = (120 x f x (1-s))/p
where s is the slip of the motor.
We can calculate the slip of the motor as follows:
s = (Ns - N)/Ns
s = (1500 - 1440)/1500
s = 0.04
Substituting the values in the formula, we get:
N = (120 x 50 x (1-0.04))/4
N = 1440 rpm
The rotor frequency (fr) is given by the formula:
fr = (s x f)/p
Substituting the values, we get:
fr = (0.04 x 50)/4
fr = 0.5 Hz
The number of cycles of the rotor voltage makes per minute is given by:
f_rpm = fr x 60
f_rpm = 0.5 x 60
f_rpm = 30
Therefore, the correct answer is 120 cycles (corresponding to 50 Hz) per minute, which is the same as the synchronous speed of the motor.
Given parameters are:
- Power (P) = 1000 hp
- Number of poles (p) = 4
- Voltage (V) = 440 V
- Frequency (f) = 50 Hz
- Speed (N) = 1440 rpm
We know that the synchronous speed of an induction motor is given by the formula:
Ns = 120f/p
where Ns is the synchronous speed in revolutions per minute (RPM), f is the supply frequency in hertz (Hz), and p is the number of poles.
We can calculate the synchronous speed of the motor as follows:
Ns = 120 x 50/4
Ns = 1500 rpm
The actual speed of the motor (N) is given by the formula:
N = (120 x f x (1-s))/p
where s is the slip of the motor.
We can calculate the slip of the motor as follows:
s = (Ns - N)/Ns
s = (1500 - 1440)/1500
s = 0.04
Substituting the values in the formula, we get:
N = (120 x 50 x (1-0.04))/4
N = 1440 rpm
The rotor frequency (fr) is given by the formula:
fr = (s x f)/p
Substituting the values, we get:
fr = (0.04 x 50)/4
fr = 0.5 Hz
The number of cycles of the rotor voltage makes per minute is given by:
f_rpm = fr x 60
f_rpm = 0.5 x 60
f_rpm = 30
Therefore, the correct answer is 120 cycles (corresponding to 50 Hz) per minute, which is the same as the synchronous speed of the motor.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer?
Question Description
A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer?.
A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer?.
Solutions for A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer?, a detailed solution for A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? has been provided alongside types of A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 1000 hp, 4 pole, 3 phase, 440 V, 50 Hz, Induction motor has a speed of 1440 rpm on full load. The number of cycles of the rotor voltage makes per minutes will be______Correct answer is '120'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup