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 industrial flywheel has a 2.0 m diameter and a mass of 270 kg. Its maximum angular velocity is 1200 rpm. It takes the flywheel, with a constant torque of 55 Nm, 310 seconds to reach its top speed and additionally, 1.1x106 J stored in the flywheel. The average power delivered to the machine is 2.66x105 W after the flywheel is disconnected and half the energy stored in the flywheel is delivered in 2.0 seconds. How much torque does the flywheel exert on the machine?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 49PQ: A turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular...
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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 industrial flywheel has a 2.0 m diameter and a mass of 270 kg. Its maximum angular velocity is 1200 rpm. It takes the flywheel, with a constant torque of 55 Nm, 310 seconds to reach its top speed and additionally, 1.1x106 J stored in the flywheel. The average power delivered to the machine is 2.66x105 W after the flywheel is disconnected and half the energy stored in the flywheel is delivered in 2.0 seconds. How much torque does the flywheel exert on the machine?

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