Question

Angular kinetic energy is the resistance to a change in rotational motion True or False?

Angular kinetic energy is the resistance to a change in rotational motion True or False?

Homework Answers

Answer #1

TRUE

Angular kinetic energy = Ek = ½ [ Σ miri2 ] ω2

The quantity Σ miri2 is obtained dividing the body into a large number of infinitesimally small particles and doing the summation using integral calculus. This quantity is denoted by I = Σ miri2 and is called the moment of inertia of the body about that particular axis of rotation. The moment of inertia of a body is a measure of the resistance the body offers to any change in its angular velocity.

The rotational kinetic energy for a body is then given by the formula Ek = ½ Iω2

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