Project ForgeTheory of Machines
Governors & Flywheels
GATE 2013
Medium
A flywheel connected to a punching machine has to supply energy of 400 Nm while running at a mean angular speed of 20 rad/s. If the total fluctuation of speed is not to exceed ±2%, the mass moment of inertia of the flywheel in kg-m² is
- 25
- B50
- C100
- D125
Explanation
Coefficient of fluctuation of speed Cs = total fluctuation = 2×0.02=0.04 (±2% total). Fluctuation of energy ΔE=Iω²Cs. So I=ΔE/(ω²Cs)=400/(20²×0.04)=400/16=25 kg·m².
Source: GATE ME 2013 (Booklet Code A) (2013)
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