An energy storage system based on a flywheel a rotating disk

An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.0 MJ when the flywheel is rotating at 13000 revolutions per minute.
What is the moment of inertia of the flywheel?
An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.0 MJ when the flywheel is rotating at 13000 revolutions per minute.
What is the moment of inertia of the flywheel?
What is the moment of inertia of the flywheel?

Solution

the angular speed is, = 13000 rpm (2*pi/60) =1.361e+3 rad /s

that maximum store energy is K.E = 1/2 I ^2

therefore, the moment of inertia is,

3.0*10^6 J = (1/2) * I * ( 1.361e+3 rad /s )^2

         I = 3.24 kg.m^2

An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.0 MJ when the flywheel is rotating at 13000 revolutions per minute. What

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