Kinetic Energy of The Moving Parts of A Machine
The kinetic energy of a machine is the sum of the kinetic energies of its individual moving parts. A machine with moving parts can, mathematically, be treated as a connected system of bodies, whose kinetic energies are simply summed. The individual kinetic energies are determined from the kinetic energies of the moving parts' translations and rotations about their axes.
The kinetic energy of rotation of the moving parts can be determined by noting that every such system of moving parts can be reduced to a collection of connected bodies rotating about an instantaneous axis, which form either a ring or a portion of an ideal ring, of radius rotating at revolutions per second. This ideal ring is known as the equivalent fly wheel, whose radius is the radius of gyration. The integral of the squares of the radii all the portions of the ring with respect to their mass, also expressible if the ring is modelled as a collection of discrete particles as the sum of the products of those mass and the squares of their radii is the ring's moment of inertia, denoted . The rotational kinetic energy of the whole system of moving parts is, where is the angular velocity of the moving parts about the same axis as the moment of inertia.
The kinetic energy of translation of the moving parts is, where is the total mass and is the magnitude of the velocity. This gives the formula for the total kinetic energy of the moving parts of a machine as .
Read more about this topic: Moving Parts
Famous quotes containing the words kinetic, energy, moving, parts and/or machine:
“All my stories are webs of style and none seems at first blush to contain much kinetic matter.... For me “style” is matter.”
—Vladimir Nabokov (1899–1977)
“The scholar may be sure that he writes the tougher truth for the calluses on his palms. They give firmness to the sentence. Indeed, the mind never makes a great and successful effort, without a corresponding energy of the body.”
—Henry David Thoreau (1817–1862)
“The will is one of the chief factors in belief, not that it creates belief, but because things are true or false according to the aspect in which we look at them. The will, which prefers one aspect to another, turns away the mind from considering the qualities of all that it does not like to see; and thus the mind, moving in accord with the will, stops to consider the aspect which it likes and so judges by what it sees.”
—Blaise Pascal (1623–1662)
“The Pacts and Covenants, by which the parts of this Body Politique were at first made, set together, and united, resemble that Fiat, or the Let us make man, pronounced by God in the Creation.”
—Thomas Hobbes (1579–1688)
“One machine can do the work of fifty ordinary men. No machine can do the work of one extraordinary man.”
—Elbert Hubbard (1856–1915)