Moving Parts - Kinetic Energy of The Moving Parts of A Machine

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)

    Reckoned physiologically, everything ugly weakens and afflicts man. It recalls decay, danger, impotence; he actually suffers a loss of energy in its presence. The effect of the ugly can be measured with a dynamometer. Whenever man feels in any way depressed, he senses the proximity of something “ugly.” His feeling of power, his will to power, his courage, his pride—they decline with the ugly, they increase with the beautiful.
    Friedrich Nietzsche (1844–1900)

    ...the moving spirit of militancy is deep and abiding reverence for human life.
    Emmeline Pankhurst (1858–1928)

    The words of a whisperer are like delicious morsels; they go down into the inner parts of the body.
    Bible: Hebrew, Proverbs 18:8.

    The chrysanthemums’ astringent fragrance comes
    Each year to disguise the clanking mechanism
    Of machine within machine within machine.
    Wallace Stevens (1879–1955)