Opening the text

Philosophical transactions, Vol. L. Part I. For the year 1757.: Giving some account of the present undertakings, studies, and labours, of the ingenious, in many considerable parts of the world.Various

History

Philosophical transactions, Vol. L. Part I. For the year 1757.: Giving some account of the present undertakings, studies, and labours, of the ingenious, in many considerable parts of the world.

Name: Philosophical transactions, Vol. L. Part I. For the year 1757.: Giving some account of the present undertakings, studies, and labours, of the ingenious, in many considerable parts of the world.
Author: Various

Various

Science -- Periodicals

My curiosity leading me to inquire what was the weight of the ship,
in the condition she was at the time of bringing her into the dock;
for this purpose I procured draughts of the elevation and section, and
of the plans at the line of floating, and at the parallel sections
of every foot distance down to the keel. Then, by finding the mean
area between every two sections, I was thereby enabled to come at the
magnitude of a solid, that would nearly fill the trough the ship made
in the water; and, by increasing this magnitude by that of the keel,
and so much of the stern-post and stem, as were under water, the cubic
feet of the fluid displaced by the ship were obtained, being 54869;
and consequently her weight was 3532091 pounds, or 1576 tons, 16 _C_.
2 qrs. 3 ℔. These numbers were not altogether so easily come at, as
they would have been, had the ship swam on an even keel, her draught
of water before being 13 feet 2 inches, and abast 16 feet 6 inches.
However, the computation may be esteemed as correct as the nature of
the subject would admit; because I found pretty near the same solidity
by another method.

I got a block or model made, by a scale of a quarter of an inch to a
foot, of so much of the Royal William’s body, as was immerged, when
she was brought into dock; and this block I immersed in a trough of
sea-water, and found its weight in the following manner.

The length of the trough was 46 inches, breadth 14 inches, and
depth 8 inches: at each corner was a graduated scale of inches, and
pencil-lines drawn round the inside of the trough at every inch.
Sea-water was poured into the trough to the height of 5 inches; and
the trough was exactly levelled, by means of the pencil-line, at 5
inches: then the block being forced under the water’s surface, the
fluid, when still, was risen to 6⅓ inches; consequently the magnitude
of the block was equal to a parallelopipedon of 46 inches long, 14
inches broad, and 1⅓ inches deep, or to 858⅔ cubic inches.

Now 858⅔ cubic inches are equal to 0.4969 cubic feet.

And a cubic foot of sea-water weighs 64.373² pounds avoirdupoize.

Then 64.373² × 0.4969 = 31.987 pounds.

So that by a quarter inch scale, a model similar to the Royal William
weighs near 32 ℔.

But a quarter inch scale is ⅟48 of a foot scale.

And the model is to the ship as 1³ is to 48³, or as 1 is to 110592.

Then 3537506 ℔. (= 110592 × 31.987), or 1579 tons, 4 _C._ 3 qrs. 14 ℔.
is the weight sought.

The difference by the two methods amounts to 5415 ℔. or to 2 tons, 8
_C._ 1 qr. 11 ℔.

Public-domain text, read in full here on John Shaqi.

Opening the text

History

Philosophical transactions, Vol. L. Part I. For the year 1757.: Giving some account of the present undertakings, studies, and labours, of the ingenious, in many considerable parts of the world.

Various

Science -- Periodicals

My curiosity leading me to inquire what was the weight of the ship,
in the condition she was at the time of bringing her into the dock;
for this purpose I procured draughts of the elevation and section, and
of the plans at the line of floating, and at the parallel sections
of every foot distance down to the keel. Then, by finding the mean
area between every two sections, I was thereby enabled to come at the
magnitude of a solid, that would nearly fill the trough the ship made
in the water; and, by increasing this magnitude by that of the keel,
and so much of the stern-post and stem, as were under water, the cubic
feet of the fluid displaced by the ship were obtained, being 54869;
and consequently her weight was 3532091 pounds, or 1576 tons, 16 _C_.
2 qrs. 3 ℔. These numbers were not altogether so easily come at, as
they would have been, had the ship swam on an even keel, her draught
of water before being 13 feet 2 inches, and abast 16 feet 6 inches.
However, the computation may be esteemed as correct as the nature of
the subject would admit; because I found pretty near the same solidity
by another method.

I got a block or model made, by a scale of a quarter of an inch to a
foot, of so much of the Royal William’s body, as was immerged, when
she was brought into dock; and this block I immersed in a trough of
sea-water, and found its weight in the following manner.

The length of the trough was 46 inches, breadth 14 inches, and
depth 8 inches: at each corner was a graduated scale of inches, and
pencil-lines drawn round the inside of the trough at every inch.
Sea-water was poured into the trough to the height of 5 inches; and
the trough was exactly levelled, by means of the pencil-line, at 5
inches: then the block being forced under the water’s surface, the
fluid, when still, was risen to 6⅓ inches; consequently the magnitude
of the block was equal to a parallelopipedon of 46 inches long, 14
inches broad, and 1⅓ inches deep, or to 858⅔ cubic inches.

Now 858⅔ cubic inches are equal to 0.4969 cubic feet.

And a cubic foot of sea-water weighs 64.373² pounds avoirdupoize.

Then 64.373² × 0.4969 = 31.987 pounds.

So that by a quarter inch scale, a model similar to the Royal William
weighs near 32 ℔.

But a quarter inch scale is ⅟48 of a foot scale.

And the model is to the ship as 1³ is to 48³, or as 1 is to 110592.

Then 3537506 ℔. (= 110592 × 31.987), or 1579 tons, 4 _C._ 3 qrs. 14 ℔.
is the weight sought.

The difference by the two methods amounts to 5415 ℔. or to 2 tons, 8
_C._ 1 qr. 11 ℔.

Public-domain text, read in full here on John Shaqi.

Philosophical transactions, Vol. L. Part I. For the year 1757.: Giving some account of the present undertakings, studies, and labours, of the ingenious, in many considerable parts of the world.

Philosophical transactions, Vol. L. Part I. For the year 1757.: Giving some account of the present undertakings, studies, and labours, of the ingenious, in many considerable parts of the world.

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