Everything about The Rotational Energy totally explained
The
rotational energy or
angular kinetic energy is the
kinetic energy due to the rotation of an object and is part of its
total kinetic energy. Looking at rotational energy separately in an object's
centre of mass frame, one gets the following dependence on the object's
moment of inertia:
»
In the rotating system, the
moment of inertia,
I, takes the role of the mass,
m, and the
angular velocity,
, takes the role of the linear velocity,
v. The
rotational energy of a
rolling cylinder varies from one half of the translational energy (if it's massive) to the same as the translational energy (if it's hollow).
As an example, let us calculate 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
-1. Assuming that the Earth is perfectly spherical and uniform in mass density, it has a moment of inertia, I = 9.72×10
37 kg·m
2. Therefore, it has a rotational kinetic energy of 2.58×10
29 J.
Part of it can be tapped using
tidal power. This creates additional friction of the two global tidal waves, infinitesimally slowing down Earth's angular velocity
ω. Due to
conservation of
angular momentum this process transfers angular momentum to the
Moon's
orbital motion, increasing its distance from Earth and its orbital period (see
tidal locking for a more detailed explanation of this process).
Further Information
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