Question

what is relationship between moment of inertia and rotational kinetic energy and derive it?
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Answer 1

Answer:

Rotational kinetic energy is the kinetic energy due to the rotation of an object and is part of its total kinetic energy. Looking at rotational energy separately around an object’s axis of rotation yields the following dependence on the object’s moment of inertia

Explanation:

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Answer 2

Answer:

Explanation:

Momentum 'P'=mv

Kinetic energy 'K'=½mv²

Where,

m→mass of the body

v→speed of the body

Relationship between K and P

P=mv

Dividing by 2 on both sides,

P/2=mv/2

Squaring numerators on both sides,

P²/2=m²v²/2

Multiplying the denominator by m,

P²/2m=m²v²/2m

P²/2m=mv²/2 {m will cancel}

P²/2m=K {as mv²/2=K}

P²=2mK {cross-multiply}