Everyone knows that if paddles be revolved rapidly in a vessel
containing a liquid, such as a churn, or the like, the liquid will
offer considerable resistance to their motion, the amount of
resistance depending upon the nature of the liquid, and the rapidity of
the motion.
Our scientific instruments have determined the fact to be that the
B. T. U. developed in the liquid and on the paddles is the exact
equivalent to the foot-pounds of energy required to drive the paddles,
i. e., the number of B. T. U. is 778 times the number of foot-pounds.
An engine is run with steam--the engine drives an electric generator.
Electricity is developed. This electricity is conducted over a wire to
a motor. It is always found that not as much energy can be derived from
the motor as is supplied from the generator to the wire. Where is the
loss?
It is found that the loss is in the resistance of the wire to the
current, and that the wire is warmed--possibly not sufficient to be
perceptible to the ordinary sense of touch, and, yet, it is warmed to
some extent, and the B. T. U., developed in, and radiated away by the
wire, amounts precisely and exactly to the difference in foot-pounds
between the energy supplied to the wire at one end of the wire, and the
energy supplied by the wire at its other end.
Capillary Attraction is one form of motion by which liquids are
elevated and carried considerable distance. The moisture is taken from
the earth and carried up the trunks of trees, and out through their
limbs to their leaves. This cannot be done without force and energy,
but where is the heat? It has been determined and proven that there is
an expenditure of heat in doing that work, and that the expenditure of
heat is precisely equivalent to the work done. It is hardly believable
that there is a loss of heat by coal oil or water, or other liquid
performing the work of ascending the wick, and yet, science has
determined that that work is only done at the expense of that other
form of energy--heat.
If an object falls a distance of twenty feet, and it strikes one end of
a lever having two arms of equal length, and at the other end of the
lever there be a ball of equal weight, the other ball will be thrown
upward twenty feet, less an allowance for the resistance of the air
in the descent and ascent, and for the frictional resistance of the
motion of the lever. It would throw a ball of twice the weight half the
height by adjusting the levers properly. Or, it would throw a ball of
one-third the weight three times as high, and so on.
A ball rolling down an inclined plane is found to have a velocity, and
consequently a striking force, and an energy equal to that acquired
in falling the vertical distance of its descent, due allowance being
made for the resistance offered to its rolling motion. It makes no
difference whether the incline be great or small, the velocity, the
energy are the same as though it had fallen perpendicularly through the
same vertical distance.
Public-domain text, read in full here on John Shaqi.
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