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)
“Long before Einstein told us that matter is energy, Machiavelli and Hobbes and other modern political philosophers defined man as a lump of matter whose most politically relevant attribute is a form of energy called self-interestedness. This was not a portrait of man warts and all. It was all wart.”
—George F. Will (b. 1941)
“One fellow I was dating in medical school ... was a veterinarian and he wanted to get married. I said, but youre going to be moving to Minneapolis, and he said, oh, you can quit and Ill take care of you. I said, Go.”
—Sylvia Beckman (b. c. 1931)
“He could jazz up the map-reading class by having a full-size color photograph of Betty Grable in a bathing suit, with a co- ordinate grid system laid over it. The instructor could point to different parts of her and say, Give me the co-ordinates.... The Major could see every unit in the Army using his idea.... Hot dog!”
—Norman Mailer (b. 1923)
“Above all, however, the machine has no feelings, it feels no fear and no hope ... it operates according to the pure logic of probability. For this reason I assert that the robot perceives more accurately than man.”
—Max Frisch (19111991)