contestada

An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.7 MJ when the flywheel is rotating at 16000 revolutions per minute.

Respuesta :

The moment of inertia of the flywheel is 2.63 kg-[tex]m^{2}[/tex]

It is given that,

The maximum energy stored on the flywheel is given as

E=3.7MJ= 3.7×[tex]10^{6}[/tex] J

Angular velocity of the flywheel is 16000[tex]\frac{rev}{min}[/tex] = 1675.51[tex]\frac{rad}{sec}[/tex]

So to find the moment of inertia of the flywheel. The energy of a flywheel in rotational kinematics is given by :

E = [tex]\frac{1}{2}[/tex][tex]Iw^{2}[/tex]

By rearranging the equation:

I = [tex]\frac{2E}{w_{2} }[/tex]

I = 2.63 kg-[tex]m^{2}[/tex]

Thus the moment of inertia of the flywheel is 2.63 kg-[tex]m^{2}[/tex].

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