The turntable in a microwave oven has a moment of inertia of 0.039 kg⋅m2 and is rotating once every 4.4 s . part a what is its kinetic energy? express your answer with the appropriate units.

To solve this problem it is necessary to apply the concepts related to Kinetic Energy, specifically, since it is a body with angular movement, the kinetic rotational energy. Recall that kinetic energy is defined as the work necessary to accelerate a body of a given mass from rest to the indicated speed.

Mathematically it can be expressed as,

Where

I = Moment of Inertia

Angular velocity

Our values are given as

A revolution is made every 4.4 seconds.

If the angular velocity is equivalent to the displacement over the time it takes to perform it then

Replacing at our previous equation we have,

Therefore the kinetic energy is equal to

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