Project ForgeTheory of Machines
Governors & Flywheels
GATE 2020
Medium
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).
1 kg.m²(± 0.02 accepted)
Explanation
ΔKE = ½I(ω2²−ω1²) = ½I(110²−100²) = ½I(2100) = 1050I. Setting ΔKE=1050 J: I = 1050/1050 = 1.00 kg·m².
Source: GATE ME 2020 Session 1 (ME-1) (2020)
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