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A flywheel is having a mass moment of inertia of I work with angular speeds ω1 and ω2. The maximum fluctuation of energy in the flywheel is equal to 

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HPCL Engineer Mechanical 12 Aug 2021 Official Paper (Shift 2)
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  1. Iω (ω1 - ω2)
  2. 1/2 Iω2
  3. 1/2 Iω (ω1 - ω2)
  4. Iω2

Answer (Detailed Solution Below)

Option 1 : Iω (ω1 - ω2)
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Detailed Solution

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Concept:

Mass moment of inertia of the flywheel = I, Mean speed of the rotation = ω, Kinetic energy = E, Fluctuation of speed = K

Coefficient of fluctuation of energy:

Coefficient of fluctuation of speed:

The maximum fluctuation of energy:

 

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Q1.The maximum fluctuation of energy in a flywheel is Where, I = Mass moment of inertia E = Kinetic energy at mean speed K = Coefficient of fluctuation of speed ω = Mean angular speed
Q2.A flywheel is having a mass moment of inertia of I work with angular speeds ω1 and ω2. The maximum fluctuation of energy in the flywheel is equal to 
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Q1.A flywheel is used :
Q2.The flywheel of a steam engine has a radius of gyration 1 m and mass of 3000 kg. The starting torque of the engine is 3000 N - m. The kinetic energy of such a flywheel after 10 sec from rest position will be _______.
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