Modern shipbuilding and the men engaged in itPollock, David
History
Modern shipbuilding and the men engaged in it
Pollock, David
Shipbuilding -- Great Britain
Describing the simple planimeter more in detail, and referring to
Fig. 25, it may be said the outline of the figure to be dealt with is
travelled round by a pointer attached to a bar moving on a vertical
axis carried by another bar, which latter turns on a needle point
slightly pressed into the drawing surface. The bar with the pointer
is provided with a revolving drum having a graduated circumference
and a disc counting its revolutions. The drum is divided into 100
parts, reading into a vernier, which gives the reading of the drum’s
revolution to the 1/1000 part of its circumference. Upon the same
axis as the drum an endless screw is cut, working into a worm wheel
of ten teeth connected with the counting disc, which records the
revolutions of the drum.
To use the planimeter, place the instrument upon the paper so that
the tracing point, roller, and needle point, all touch the surface
at any convenient position. Press the needle point down gently, so
that it just enters the paper, and place the small weight supplied
with the instrument over it. Make a mark at any part of the outline
of the figure to be computed, and set the tracing point to it. Before
commencing read off the counting wheel and the index roller. Suppose
the counting wheel marks 2, the roller index 91, and the vernier 5,
then, the unit in this case being 10 sq. ins., write this down 29·15
(for the proportional or variable-scale planimeter this reading
would be 2·915.) Follow with the tracing point exactly the outline
of the figure to be measured in the direction of the movement of the
hands of a watch, until you arrive at the starting point; now read
the instrument. Suppose this reading to be 47·67, then by deducting
the first reading (29·15) the remainder (18·52) indicates that the
measured area contains 18·52 units—i.e., square inches—which is the
final result, so far as the instrument is concerned. To obtain the
actual area in feet, however, this result must be multiplied by the
number before explained corresponding to the scale on which the
figure that has been measured is drawn.[35] Assuming the scale to
have been ¼-inch per foot, then 18·52 inches multiplied by 16—the
appropriate multiplier for that scale—gives 296·32 square feet, the
exact area.
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