Momentum and Impulse for a flywheel

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SUMMARY

The discussion focuses on calculating the time required for a flywheel with a moment of inertia of 854 kg·m² to come to rest from an initial angular velocity of 450 rpm, which converts to 0.785 rad/sec. The resisting moment due to kinetic friction is 14 Nm. To find the angular retardation (α), the formula α = torque/I is applied, leading to the calculation of time using kinematic equations.

PREREQUISITES
  • Understanding of angular motion and kinematics
  • Familiarity with the concepts of moment of inertia
  • Knowledge of torque and its calculation
  • Basic proficiency in converting units (rpm to rad/sec)
NEXT STEPS
  • Study the calculation of angular retardation using the formula α = torque/I
  • Learn about kinematic equations for rotational motion
  • Explore the effects of friction on rotational dynamics
  • Investigate the principles of flywheel energy storage and efficiency
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Students and professionals in mechanical engineering, physics enthusiasts, and anyone involved in the study of rotational dynamics and energy systems.

richiecky
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Hey. Just wondering if I could get a little help with this quest please.

A flywheel has a moment of inertia of 854kgm^s, and is allowed to come to rest from and angular velocity of 450rpm. Knowing that kinetic friction produces a resisting moment of magnitude 14Nm, determine the time required for the flywheel to come to rest.

well, i know that 450x(2pi/60) = 47.12 rad/min = 0.785rad/sec
so 0.785 is the intial angular velocity..

but am not sure where to go from here.
Could someone point me in the right direction please?
Thanks
 
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Moment of inertia of the flywheel and torque on it is given. From thewse values find the angular retardation alpha, which is equal = torque/I. Then using kinematics find the time.
 

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