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djfusion777
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I have a mechanics question.
"A wheel starts from rest and rotates with constant angular acceleration about a fixed axis.
1) Prove that the power at any given time is proportional to the square of the net torque about the axis.
2) Prove that the power at any given angular displacement is proportional to the 3/2 power of the total torque about the axis at that angular displacement"
I know that Torque = r x F
Power in this case is rate of change of rotational Kinetic Energy, Ek = 1/2I (omega)^2 where I = moment of inertia.
No idea where to go from here, any help much appreciated!
"A wheel starts from rest and rotates with constant angular acceleration about a fixed axis.
1) Prove that the power at any given time is proportional to the square of the net torque about the axis.
2) Prove that the power at any given angular displacement is proportional to the 3/2 power of the total torque about the axis at that angular displacement"
I know that Torque = r x F
Power in this case is rate of change of rotational Kinetic Energy, Ek = 1/2I (omega)^2 where I = moment of inertia.
No idea where to go from here, any help much appreciated!