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:
“The poem has a social effect of some kind whether or not the poet wills it to have. It has kinetic force, it sets in motion ... [ellipsis in source] elements in the reader that would otherwise be stagnant.”
—Denise Levertov (b. 1923)
“For infants and toddlers learning and living are the same thing. If they feel secure, treasured, loved, their own energy and curiosity will bring them new understanding and new skills.”
—Amy Laura Dombro (20th century)
“If melodrama is the quintessence of drama, farce is the quintessence of theatre. Melodrama is written. A moving image of the world is provided by a writer. Farce is acted. The writers contribution seems not only absorbed but translated.... One cannot imagine melodrama being improvised. The improvised drama was pre-eminently farce.”
—Eric Bentley (b. 1916)
“Thus Satan talking to his neerest Mate
With Head up-lift above the wave, and Eyes
That sparkling blazd, his other Parts besides
Prone on the Flood, extended long and large
Lay floating many a rood, in bulk as huge
As whom the Fables name of monstrous size,
Titanian, or Earth-born, that warrd on Jove,
Briarios or Typhon, whom the Den
By ancient Tarsus held, or that Sea-beast
Leviathan,”
—John Milton (16081674)
“Man is a shrewd inventor, and is ever taking the hint of a new machine from his own structure, adapting some secret of his own anatomy in iron, wood, and leather, to some required function in the work of the world.”
—Ralph Waldo Emerson (18031882)