GATE Mechanical Engineering (ME) 2020 Shift 2 Solved Paper

Question : 55 of 65

Marks: +1, -0

The turning moment diagram of a flywheel fitted to a fictitious engine is shown in the figure.

The mean turning moment is

2000 {Nm}

. The average engine speed is 1000 rpm. For fluctuation in the speed to be within

± 2 \%

of the average speed, the mass moment of inertia of the flywheel is _____________

{kg} ⋅ {m}^{2}

Solution:

Maximum function of energy

(∆ {E})_{\max }=(3000-2000) × \;{π}/{2}

=1000 × \;{π}/{2}

{C}_{ {s}}=0.04

(∆ {E})_{\max }= {I} ω^{2} {C}_{ {s}}

1000 × \;{π}/{2}= {I} ×(\;{22 × 1000}/{60})^{2} × 0.04

{I}=3.58 {kg}- {m}^{2}

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