GATE ME 2014 Set 2 — Question 47
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Question
Maximum fluctuation of kinetic energy in an engine has been calculated to be J. Assuming that the engine runs at an average speed of rpm, the polar mass moment of inertia (in ) of a flywheel to keep the speed fluctuation within of the average speed is _______
Correct answer
590 to 595
Solution
Given:
Maximum fluctuation of energy, J
Average speed, rpm
Speed fluctuation range of average speed.Step 1: Calculate average angular velocity ():
rad/sStep 2: Calculate coefficient of fluctuation of speed ():
The speed varies from to .
(or )Step 3: Use the formula for fluctuation of energy:
The value lies within the range [590, 595].
Maximum fluctuation of energy, J
Average speed, rpm
Speed fluctuation range of average speed.Step 1: Calculate average angular velocity ():
rad/sStep 2: Calculate coefficient of fluctuation of speed ():
The speed varies from to .
(or )Step 3: Use the formula for fluctuation of energy:
The value lies within the range [590, 595].
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