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GATE Mechanical 2024 | Question: 13

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​​​​The change in kinetic energy $\Delta E$ of an engine is $300 \mathrm{~J}$, and minimum and maximum shaft speeds are $\omega_{\min }=220 \mathrm{rad} / \mathrm{s}$ and $\omega_{\max }=280 \mathrm{rad} / \mathrm{s}$, respectively. Assume that the torque-time function is purely harmonic. To achieve a coefficient of fluctuation of $0.05$, the moment of inertia (in $\mathrm{kg} \cdot \mathrm{m}^{2}$ ) of the flywheel to be mounted on the engine shaft is

  1. $0.113$
  2. $0.096$
  3. $0.071$
  4. $0.053$
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