Rotational Kinetic Energy Calculator
Calculate the kinetic energy of a rotating object.
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Enter the moment of inertia in kg m2 and the angular velocity in radians per second. The calculator computes the rotational kinetic energy in joules.
About Rotational Kinetic Energy
Rotational kinetic energy represents the energy stored in rotational motion. It is calculated as KE = 0.5 I omega2, where I is the moment of inertia and omega is the angular velocity. This concept is important for flywheels (energy storage), rotating machinery, rolling objects, and any system involving rotation. In a rolling object without slipping, the total kinetic energy includes both translational and rotational components.
Frequently Asked Questions
What is rotational kinetic energy?
Rotational kinetic energy is the energy due to rotational motion. It is the rotational analog of translational kinetic energy and equals one-half times the moment of inertia times the angular velocity squared.
How does rotational KE relate to linear KE?
Rotational KE (0.5 I omega2) has the same form as linear KE (0.5 mv2), with moment of inertia replacing mass and angular velocity replacing linear velocity.
Can an object have both rotational and translational KE?
Yes. A rolling ball has both translational KE (from its center of mass moving) and rotational KE (from spinning). The total KE is the sum of both.