If the moon were the only body that swung the earth round, this is all
that need be said in an elementary treatment; but it is not the only
one. The moon swings the earth round once a month, the sun swings it
round once a year. The circle of swing is bigger, but the speed is so
much slower that the protuberance produced is only one-third of that
caused by the monthly whirl; _i.e._ the simple solar tide in the open
sea, without taking momentum into account, is but a little more than a
foot high, while the simple lunar tide is about three feet. When the two
agree, we get a spring tide of four feet; when they oppose each other,
we get a neap tide of only two feet. They assist each other at full moon
and at new moon. At half-moon they oppose each other. So we have spring
tides regularly once a fortnight, with neap tides in between.
[Illustration: FIG. 114.--Spring and neap tides.]
Fig. 114 gives the customary diagrams to illustrate these simple things.
You see that when the moon and sun act at right angles (_i.e._ at every
half-moon), the high tides of one coincide with the low tides of the
other; and so, as a place is carried round by the earth's rotation, it
always finds either solar or else lunar high water, and only experiences
the difference of their two effects. Whereas, when the sun and moon act
in the same line (as they do at new and full moon), their high and low
tides coincide, and a place feels their effects added together. The tide
then rises extra high and falls extra low.
[Illustration: FIG. 115.--Tidal clock. The position of the disk B shows
the height of the tide. The tide represented is a nearly high tide eight
feet above mean level.]
Utilizing these principles, a very elementary form of tidal-clock, or
tide-predicter, can be made, and for an open coast station it really
would not give the tides so very badly. It consists of a sort of clock
face with two hands, one nearly three times as long as the other. The
short hand, CA, should revolve round C once in twelve hours, and the
vertical height of its end A represents the height of the solar tide on
the scale of horizontal lines ruled across the face of the clock. The
long hand, AB, should revolve round A once in twelve hours and
twenty-five minutes, and the height of its end B (if A were fixed on the
zero line) would represent the lunar tide. The two revolutions are made
to occur together, either by means of a link-work parallelogram, or,
what is better in practice, by a string and pulleys, as shown; and the
height of the end point, B, of the third side or resultant, CB, read off
on a scale of horizontal parallel lines behind, represents the
combination or actual tide at the place. Every fortnight the two will
agree, and you will get spring tides of maximum height CA + AB; every
other fortnight the two will oppose, and you will get neap tides of
maximum height CA-AB.
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