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Mars2501 [29]
3 years ago
5

A energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.0 MJ when the flywheel is rotating at 20,

000 revolutions per minute. What is the moment of inertia of the flywheel?
Physics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

Moment of inertia of the flywheel, I=1.82\ kg-m^2          

Explanation:

Given that,

The maximum energy stored on  flywheel, E=4\ MJ=4\times 10^6\ J

Angular velocity of the flywheel, \omega=20000\ rev/s=2094.39\ rad/s

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

E=\dfrac{1}{2}I\omega^2

I is the moment of inertia of the flywheel

On rearranging we get :

I=\dfrac{2E}{\omega^2}

I=\dfrac{2\times 4\times 10^6}{(2094.39)^2}

I=1.82\ kg-m^2

So, the moment of inertia of the flywheel is I=1.82\ kg-m^2. Hence, this is the required solution.

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<h3>Further explanation</h3>

Given

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\large {\boxed {\bold {F = \frac {mv ^ 2} {R}}}

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