Question

define rotational motion and calculate the formula oi kinetic energy in rotational motion.​

Answer 1

Explanation:

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Rotational energy or angular kinetic energy is 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, the following dependence on the object's moment of inertia is observed:

{\displaystyle E_{\mathrm {rotational} }={\frac {1}{2}}I\omega ^{2}}E_{\mathrm {rotational} }={\frac {1}{2}}I\omega ^{2}

where

{\displaystyle \omega \ }\omega \ is the angular velocity

{\displaystyle I\ }I\ is the moment of inertia around the axis of rotation

{\displaystyle E\ }E\ is the kinetic energy

The mechanical work required for or applied during rotation is the torque times the rotation angle. The instantaneous power of an angularly accelerating body is the torque times the angular velocity. For free-floating (unattached) objects, the axis of rotation is commonly around its center of mass.

Note the close relationship between the result for rotational energy and the energy held by linear (or translational) motion:

{\displaystyle E_{\mathrm {translational} }={\frac {1}{2}}mv^{2}}E_{\mathrm {translational} }={\frac {1}{2}}mv^{2}

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Answer 2

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Rotational energy or angular kinetic energy is kinetic energy due to the rotation of an object and is part of its total kinetic energy. ... An example is the calculation of the rotational kinetic energy of the Earth. As the Earth has a period of about 23.93 hours, it has an angular velocity of 7.29×10−5 rad/s.

Rotational kinetic energy can be expressed as:

E rotational = 1 2 I ω 2

where ω is the angular velocity

and

I is the moment of inertia around the axis of rotation.

The mechanical work applied during rotation is the torque times the rotation angle:

W=τθ W = τ θ .