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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?
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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.
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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
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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?
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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?.
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