Answer to Question #114144 in Mechanics | Relativity for Feker

Question #114144
A fly wheel has a moment of inertia of 3.8kgm^2.what constant is required to increase its frequency from 2rev/sec to 5rev/sec in 6 revolutions?
1
Expert's answer
2020-05-12T09:32:46-0400

6 revolutions correspond to angular displacement of "\\phi=6\\cdot2\\pi=12\\pi".

To increase the angular velocity, there must be angular acceleration:


"\\alpha=\\frac{\\omega_2^2-\\omega_1^2}{2\\phi}=2\\pi^2\\cdot\\frac{n_2^2-n_1^2}{\\phi}=11\\text{ rad\/s}^2."

The torque required to provide such acceleration is


"\\tau=I\\alpha=41.8\\text{ N}\\cdot\\text{m}."

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