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Assuming one prong to weigh two ounces, we have a two-ounce mass moving 1/17000 of an inch with a velocity of 1/33 of an inch in one second. The prong, then, has a momentum or can exercise an amount of energy equivalent to 1/200 of an ounce, or can overcome the momentum of 1,000 molecules.
If one such motion of 1/17000 of an inch in 1/512 of a second cannot compress the air, then the remaining motions cannot.
Heretofore it was supposed that a praeong of a tuning fork was traveling fast because it vibrated so many times in a second, never stopping to think that its velocity of motion was entirely dependent upon the distance it traveled. At the start the prong travels 1/20 of an inch, but in a short time, while still sounding, the distance is reduced to 1/17000 of an inch.
It is said that Madame Mara within her range of three octaves could effect 2100 changes of pitch, or 100 between each two tones of the twenty-one in her compass, which would represent a successive change in the length of the vocal bands of a small fraction, possibly not more than 1/17000 of an inch something unapproachable in nicety in the use of any other instrument.
Carter has shown by experiment that a tuning fork while still sounding had only an amplitude of swing of 1/17000 of an inch, and only traveled an aggregate distance of 1/33 of an inch in one second, or one inch in 33 seconds, surely such a motion is neither "swift," "fast," nor "vehement," and is unquestionably much "slower" than the motion of a pendulum.
Patrick's cave is on an island in Lough Derg; Mariastein lies over the edge of a steep cliff; Amarnath is hidden among lofty mountains at 17000 feet above the sea.
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