Calculating Mass & Kinetic Energy of Flywheels

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The discussion focuses on calculating the mass and kinetic energy of two flywheels involved in a collision. Flywheel (a) has a mass of 100 kg and a radius of gyration of 1200 mm, rotating at 150 revs min^-1, while flywheel (b) rotates at 80 revs min^-1 in the opposite direction. The goal is to determine the mass of flywheel (b) needed to reduce the kinetic energy of flywheel (a) by 20% and to assess energy loss and the nature of the impact. Participants suggest using the moment of inertia formula I=MK^2 and consider conservation laws during the collision. The thread emphasizes the need for guidance on starting the calculations and understanding the principles involved.
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1. I do not even know where to start here, any help is much appreciated

A flywheel (a) with a mass of 100 kg and radius of gyration 1200mm rotates at 150 revs min^-1 (clockwise). The kinetic energy of this flywheel is to be reduced by 20% by impacting it with a second flywheel (b) rotating at 80 revs min^-1 in the opposite direction,such that they have the same (clockwise) angular velocity after impact.

A) Calculate the required mass of the flywheel (b) if its radius of gyration is 800mm

B) Calculate the energy lost to the surroundings.

C) Is the impact elastic? why




2. I=MK^2



3. Totally stumped
 
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Kev1n said:
1. I do not even know where to start here, any help is much appreciated

A flywheel (a) with a mass of 100 kg and radius of gyration 1200mm rotates at 150 revs min^-1 (clockwise). The kinetic energy of this flywheel is to be reduced by 20% by impacting it with a second flywheel (b) rotating at 80 revs min^-1 in the opposite direction,such that they have the same (clockwise) angular velocity after impact.

A) Calculate the required mass of the flywheel (b) if its radius of gyration is 800mm

B) Calculate the energy lost to the surroundings.

C) Is the impact elastic? why




2. I=MK^2



3. Totally stumped

A pointer in the right direction would help
 
Kev1n said:
2. I=MK^2

Since you can calculate I, as well as ω, what other quantities or properties depend on I and ω? Are any of those quantities conserved during the "collision"?
 
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