A flywheel rotating about fixed axis has a kinetic energy of 360 joule when its angular speed is 30 radian/sec. The moment of inertia of the wheel about the axis of rotation is

A flywheel is rotating about a fixed axis with a kinetic energy of 360 joules and an angular speed of 30 radians per second. Determine the moment of inertia of the flywheel about its axis of rotation.

The moment of inertia is a measure of how mass is distributed in a rotating object and how difficult it is to change the rotational motion of that object. It plays a role in rotational dynamics just like the role played by mass in linear motion. When the angular speed and the moment of inertia are known, then the kinetic energy of the rotating object can be calculated.

The calculations for a given flywheel will show 0.8 kg·m² to be its moment of inertia, meaning its distribution of mass and rotational resistance matches this quantity. Understanding moments of inertia supports designing and even analyzing systems like an engine, turbines, or any mechanical flywheel for efficient safety and successful operation in general.

Thus, the moment of inertia of the flywheel is highly indicative of how it could store rotational energy and resist changes in its motion.

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