Physics then needs to say something about the fact that energy is not a single-flavored apple. Instead, it comes in more than one flavor, and an especially important flavor is kinetic energy: the energy of motion of an object. For objects rotating we introduce a special formula, which calculates their kinetic energy, known as the Rotational Kinetic Energy formula.

What is Rotational Kinetic Energy?

Rotational kinetic energy is the energy an object possesses due to its rotation. A moving car has kinetic energy based on its mass and speed. On similar lines, a spinning object has rotational kinetic energy depending on its moment of inertia and angular velocity.

Formula for Rotational Kinetic Energy

The rotational kinetic energy is expressed as,

Where,

• Moment of inertia is I

• The angular velocity of the rotating body is ω

The rotational kinetic energy formula is used to find the body's rotational kinetic energy in rotational motion. It is measured in Joules (J).

Rotational Kinetic Energy Solved Example

Problem 1: Determine the rotational kinetic energy when the angular velocity is 7.29 × 10-5 rad s-1 and the moment of inertia is 8.04 × 1037 kgm2.

Solution:

Given,

(Angular velocity) ω = 7.29 × 10-5 rad s-1,

(Moment of inertia) I = 8.04 × 1037 kgm2

The rotational kinetic energy formula is given,

Conclusion

Rotational Kinetic Energy is a basic term of physics that provides insight into the mechanics of rotating objects. Once you have mastered its formula and components, you can analyze physical systems better. This theory can be applied to some domains, like mechanical systems, sports dynamics, or astrophysical phenomena, since in-depth knowledge of RKE is indispensable.

 

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