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Answer to Question #123777 in Mechanics | Relativity for Ojugbele Daniel

Question #123777
The angular momentum of a flywheel having a Moment of inertia 0.125kgm^3 decreases from 3.0 to 2.0kgm^2/s^2 in a period of 1.5s
(i) Assuming a uniform angular acceleration, through how many revolutions will the flywheel have tuned?
(ii) how much work is done?
1
2020-06-25T09:35:28-0400

Solution.

"I=0.125kgm^2;"

"L1=3.0kgm^2\/s;"

"L_2=2.0kgm^2\/s;"

"t=1.5s;"

i)"M=\\dfrac{\\Delta L}{\\Delta t};"

"M=\\dfrac{1kgm^2\/s}{1.5s}=0.7kgm^2\/s;"

"M=I\\epsilon\\implies \\epsilon=\\dfrac{M}{I};"

"\\epsilon=\\dfrac{\\Delta\\omega}{\\Delta t};" "\\Delta \\omega=\\dfrac{\\Delta\\phi}{\\Delta t};"

"\\Delta\\phi=\\epsilon(\\Delta t)^2;"

ii )"A=\\dfrac{I\\omega_1^2}{2}-\\dfrac{Iw_2^2}{2};"

"L_1=I\\omega_1;"

"ii)A=20J."

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