Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator h...
Start Learning for Free
A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).
Correct answer is '75'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of...
To calculate the angular acceleration in mechanical degree/s^2, we need to use the formula:
Angular acceleration (α) = (Output Power - Input Power) * 1000 / (2 * π * Inertia Constant)
Given data:
Input Power (Pin) = 15 MW
Output Power (Pout) = 10 MW
Inertia Constant (H) = 15 MJ/MVA
First, we need to convert the powers from MW to MVA:
Pin = 15 MW = 15 MVA
Pout = 10 MW = 10 MVA
Now we can substitute the values into the formula:
α = (10 MVA - 15 MVA) * 1000 / (2 * π * 15 MJ/MVA)
Simplifying the equation:
α = -5 MVA * 1000 / (2 * π * 15 MJ/MVA)
α = -5000 / (2 * 3.14 * 15 * 10^6) rad/s^2
Converting radians to mechanical degrees:
1 rad = 180/π degrees
α = -5000 * (180/π) / (2 * 3.14 * 15 * 10^6) degree/s^2
Now let's calculate the value:
α ≈ -0.075 degree/s^2
Since the question asks for the answer rounded to the nearest integer, the angular acceleration is approximately -0.075 degree/s^2, which rounds off to 0 degree/s^2.
However, we need to consider the direction of acceleration. The negative sign indicates a deceleration or slowing down of the alternator. Therefore, we take the absolute value of the angular acceleration:
|α| = 0.075 degree/s^2
Rounding off to the nearest integer, the final answer is 0 degree/s^2, which is the correct answer.
Angular acceleration (α) = (Output Power - Input Power) * 1000 / (2 * π * Inertia Constant)
Given data:
Input Power (Pin) = 15 MW
Output Power (Pout) = 10 MW
Inertia Constant (H) = 15 MJ/MVA
First, we need to convert the powers from MW to MVA:
Pin = 15 MW = 15 MVA
Pout = 10 MW = 10 MVA
Now we can substitute the values into the formula:
α = (10 MVA - 15 MVA) * 1000 / (2 * π * 15 MJ/MVA)
Simplifying the equation:
α = -5 MVA * 1000 / (2 * π * 15 MJ/MVA)
α = -5000 / (2 * 3.14 * 15 * 10^6) rad/s^2
Converting radians to mechanical degrees:
1 rad = 180/π degrees
α = -5000 * (180/π) / (2 * 3.14 * 15 * 10^6) degree/s^2
Now let's calculate the value:
α ≈ -0.075 degree/s^2
Since the question asks for the answer rounded to the nearest integer, the angular acceleration is approximately -0.075 degree/s^2, which rounds off to 0 degree/s^2.
However, we need to consider the direction of acceleration. The negative sign indicates a deceleration or slowing down of the alternator. Therefore, we take the absolute value of the angular acceleration:
|α| = 0.075 degree/s^2
Rounding off to the nearest integer, the final answer is 0 degree/s^2, which is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of...
Pa = 15 - 10 = 5
So, mα = Pa
α = Pa/m
a = 75 mechanical degree
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 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. Can you explain this answer?
Question Description
A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. 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 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. 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 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. Can you explain this answer?.
A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. 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 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. 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 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. Can you explain this answer?.
Solutions for A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. 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 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. Can you explain this answer?, a detailed solution for A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. Can you explain this answer? has been provided alongside types of A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is ____ . (round off to nearest integer).Correct answer is '75'. 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