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Secure https://session.masteringphysics.com/myct/itemView?assignmentProblemID-88957875 Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. An Part A A motor spins up the flywheel with a constant torque of 57 N-m. How long does it take the flywheel to reach top speed? industrial flywheel has a 1.9 m diameter and a mass of 230 kg. Its maximum angular velocity is 1300 rpm Express your answer to two significant figures and include the appropriate units tValue Units Submit vious Answers Request Answer X Incorrect; Try Again; 26 attempts remaining Part B How much energy is stored in the flywheel? Express your answer to two significant figures and include the appropriate units EVae Units Submit Request Answer

Explanation / Answer

Mass of the wheel M = 230 Kg
Radius of the wheel R = Diameter/2
= 1.9 m/2
= 0.95 m
Moment of Inertia of the wheel I = (1/2)MR^2
= 0.5 * (230 Kg) * (0.95 m)^2
= 103.78 Kg m^2
Angular velocity ? = 2? (1300 rpm)
= 2?(1300/60 rps)
= 136.06 rad/s
(a)
Torque ? = 57 Nm
Angular acceleration ? = ?/I
= (57 Nm)/(103.78 Kg m^2)
= 0.549 rad/s^2
time taken t = ?/?
= (136.06 rad/s)/( 0.549 rad/s^2)
= 1767.07 s or
= 4.13 min

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