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A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk of radius 0.600 m and mass 540 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5.10 ✕ 103 rev/min.
(a) Find the kinetic energy stored in the flywheel.

Respuesta :

MechEngineer

Answer:

13.86 MJ

Explanation:

[tex]5100 rev/min = 5100 rev/min * 2\pi rad/rev * 1/60 min/s = 534.1 rad/s [/tex]

Since flywheel is a solid disk, its moment of inertia can be calculated with the following formula:

[tex]I = mr^2/2[/tex]

where m = 540kg is the mass and r = 0.6m is the radius

[tex]I = 540*0.6^2/2 = 97.2 kgm^2[/tex]

(a) the kinetic energy stored in the flywheel can be calculated

[tex]E_k = I\omega^2/2 = 97.2*534.1^2/2 = 13862254.17 J[/tex] or 13.86 MJ

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