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Theory of Machines Miscellaneous

  1. Maximum fluctuation of kinetic energy in an engine has been calculated to be 2600 J. Assuming that the engine runs at an average speed of 200 rpm, the polar mass moment of inertia (in kg.m²) of a flywheel to keep the speed fluctuation within ±0.5% of the average speed is __________.
    1. 594 kg-m²
    2. 593.12 kg-m²
    3. 593 kg-m²
    4. 592.73 kg-m²
Correct Option: D

ΔE = 2600 J
Naverage = 200 rpm
I =?
CS = ± 0.5%

= 2 ×
0.5
= 0.1
100

ΔE = Iω²CS
2600 = I ×
× 200² × 0.01
60

I = 592.73 kg-m²



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