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A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).
Correct answer is '1'. Can you explain this answer?
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A flywheel is attached to an engine to keep its rotational speed betwe...
∴ 1.05 × 103 × 2 =
I = 1 kg.m2
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A flywheel is attached to an engine to keep its rotational speed betwe...
Given information:
- Rotational speed range: 100 rad/s to 110 rad/s
- Energy fluctuation: 1.05 kJ
To find:
Moment of inertia of the flywheel
Formula:
The kinetic energy of a rotating object can be calculated using the formula:
E = (1/2) I ω^2
Where:
E = Kinetic energy
I = Moment of inertia
ω = Angular velocity (in rad/s)
Step-by-step solution:
Step 1: Convert the energy fluctuation from kJ to J.
1.05 kJ = 1.05 × 10^3 J
Step 2: Calculate the energy difference between the maximum and minimum speeds.
ΔE = 1.05 × 10^3 J
Step 3: Use the formula to find the moment of inertia.
ΔE = (1/2) I Δω^2
Where:
Δω = Change in angular velocity = (110 rad/s - 100 rad/s) = 10 rad/s
ΔE = (1/2) I (10 rad/s)^2
1.05 × 10^3 J = (1/2) I (10 rad/s)^2
Step 4: Solve for the moment of inertia (I).
I = (2 × 1.05 × 10^3 J) / (10 rad/s)^2
I = 2100 J / 100 rad^2/s^2
I = 21 kg.m2
Step 5: Round off the answer to two decimal places.
Moment of inertia (I) = 21 kg.m2 (rounded to 2 decimal places)
However, the correct answer given is 1 kg.m2. Hence, there may be a mistake in the given information or calculations. Please double-check the provided values and calculations to obtain the correct answer.
- Rotational speed range: 100 rad/s to 110 rad/s
- Energy fluctuation: 1.05 kJ
To find:
Moment of inertia of the flywheel
Formula:
The kinetic energy of a rotating object can be calculated using the formula:
E = (1/2) I ω^2
Where:
E = Kinetic energy
I = Moment of inertia
ω = Angular velocity (in rad/s)
Step-by-step solution:
Step 1: Convert the energy fluctuation from kJ to J.
1.05 kJ = 1.05 × 10^3 J
Step 2: Calculate the energy difference between the maximum and minimum speeds.
ΔE = 1.05 × 10^3 J
Step 3: Use the formula to find the moment of inertia.
ΔE = (1/2) I Δω^2
Where:
Δω = Change in angular velocity = (110 rad/s - 100 rad/s) = 10 rad/s
ΔE = (1/2) I (10 rad/s)^2
1.05 × 10^3 J = (1/2) I (10 rad/s)^2
Step 4: Solve for the moment of inertia (I).
I = (2 × 1.05 × 10^3 J) / (10 rad/s)^2
I = 2100 J / 100 rad^2/s^2
I = 21 kg.m2
Step 5: Round off the answer to two decimal places.
Moment of inertia (I) = 21 kg.m2 (rounded to 2 decimal places)
However, the correct answer given is 1 kg.m2. Hence, there may be a mistake in the given information or calculations. Please double-check the provided values and calculations to obtain the correct answer.
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A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer?
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A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer?.
A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer?.
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A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer?, a detailed solution for A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer? has been provided alongside types of A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is _________________kg.m2 (round off to 2 decimal places).Correct answer is '1'. Can you explain this answer? theory, EduRev gives you an
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