Calculating Mass & Kinetic Energy of Flywheels

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SUMMARY

The discussion focuses on calculating the mass and kinetic energy of two flywheels during an impact scenario. Flywheel (a) has a mass of 100 kg and a radius of gyration of 1200 mm, rotating at 150 revolutions per minute (rev/min). The goal is to determine the required mass of flywheel (b), which has a radius of gyration of 800 mm and rotates at 80 rev/min, to achieve a 20% reduction in kinetic energy of flywheel (a) after impact. Additionally, participants explore the energy lost to the surroundings and whether the impact is elastic, emphasizing the conservation of angular momentum and kinetic energy principles.

PREREQUISITES
  • Understanding of rotational dynamics and angular momentum
  • Familiarity with the moment of inertia formula, I = MK²
  • Knowledge of kinetic energy calculations for rotating bodies
  • Basic principles of elastic and inelastic collisions
NEXT STEPS
  • Calculate the moment of inertia for both flywheels using I = MK²
  • Learn about conservation of angular momentum in collision scenarios
  • Explore kinetic energy loss calculations in rotational systems
  • Investigate the conditions for elastic and inelastic collisions in rotational dynamics
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in the design and analysis of rotating machinery or energy systems will benefit from this discussion.

Kev1n
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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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