Question

The rotational kinetic energy of an object with moment of inertia II... Select the correct answer is never conserved if there is an external force acting. is proportional to angular speed. is proportional to II. is a vector quantity.

Answer 1

The total energy in a rotation is the sum of the rotational kinetic energy

and the potential energy of torsion.

• The correct response is rotational kinetic energy is proportional to I (the moment of inertia)

Reasons:

When external forces are applied to the system, the total mechanical

energy changes and the rotational kinetic energy depends on the work the

torque applied does. Therefore, when the force applied reduces friction,

the rotational kinetic energy can be conserved.

The rotational kinetic energy is given by the equation, $\displaystyle E_{rotational} = \frac{1}{2} \cdot I \cdot \omega ^2$

Where;

I = The moment of inertia of the object

ω = The angular speed of the object

Therefore, correct response is the rotational kinetic energy is proportional to the moment of inertia I.

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