Rotational motion of a high speed flywheel.

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SUMMARY

The discussion centers on calculating the final rotational speed of a high-speed flywheel after a power failure. The flywheel, with a mass of 36.0 kg and a diameter of 70.0 cm, initially spins at 450 rpm. During a power outage lasting 34.0 seconds, it completes 180 revolutions, indicating a deceleration due to friction. The final rotational speed upon power restoration is determined by analyzing the initial conditions and the revolutions made during the outage.

PREREQUISITES
  • Understanding of rotational motion principles
  • Familiarity with angular velocity calculations
  • Knowledge of friction effects on rotating bodies
  • Basic proficiency in kinematic equations for rotational systems
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  • Calculate angular deceleration using the number of revolutions and time
  • Learn about the relationship between rpm and angular displacement
  • Explore the effects of friction on rotational motion
  • Study the conservation of angular momentum in mechanical systems
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Homework Statement



A high-speed flywheel in a motor is spinning at 450 rpm when a power failure suddenly occurs. The flywheel has mass 36.0 kg and diameter 70.0 cm. The power is off for 34.0 s and during this time the flywheel slows due to friction in its axle bearings. During the time the power is off, the flywheel makes 180 complete revolutions.

At what rate is the flywheel spinning when the power comes back on?

Homework Equations



This is where i need help! i don't know how to set up the problem so that i can find the answer.

The Attempt at a Solution

 
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I think you should make a wild attempt at a solution first even if you are not sure. Think about what is happening to the fly wheel at the end of the 34 seconds when the power is off.
 

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