Kinetic energy and the revolutions

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SUMMARY

The discussion centers on calculating the kinetic energy of a flywheel used in a car, specifically one with a radius of 1.90 m and a mass of 510.0 kg, rotating at 1008.0 revolutions per minute (rev/min). The kinetic energy (KE) can be calculated using the formula KE = 0.5 * I * ω², where I is the moment of inertia and ω is the angular velocity in radians per second. Additionally, the time the flywheel can power a car with a 7457 W motor is determined by dividing the total energy stored in the flywheel by the power output of the motor.

PREREQUISITES
  • Understanding of rotational dynamics and kinetic energy formulas
  • Familiarity with the moment of inertia calculations for a disk
  • Knowledge of angular velocity conversion from rev/min to radians per second
  • Basic principles of energy conservation in mechanical systems
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  • Calculate the moment of inertia for a disk-shaped flywheel
  • Convert rotational speed from rev/min to radians per second
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  • Explore the implications of flywheel energy storage in electric vehicles
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Physics students, mechanical engineers, automotive engineers, and anyone interested in energy storage systems and their applications in vehicles.

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A car is designed to get its energy from a rotating flywheel with a radius of 1.90 m and a mass of 510.0 kg. Before a trip, the disk-shaped flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 1008.0 rev/min.

(a) Find the kinetic energy stored in the flywheel.
J
(b) If the flywheel is to supply as much energy to the car as a 7457 W motor would, find the length of time the car can run before the flywheel has to be brought back up to speed again.
s

trying to solve this problem is killing me.. Any hints or tips?
 
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What have you tried so far? How do you calculate rotational KE?
 

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