are required to balance any weight with a mechanical power, 80 pounds will be wanted to put the machine in motion.] 13. How does oil lessen friction? 14. What are the two kinds of friction? 15. How does it appear that in the pulley what is gained in power is lost in time? 16. Explain the principle of the wedge by fig. 6. 17. Of the screw by fig. 3. LESSON 23. The Laws of Fluids. Hydrostatics, a term formed of two Greek words, which signify Gas, all kinds of air differing from the atmosphere are called gas. Or'ifice, any opening or perforation. A FLUID is a body, the parts of which yield to any impression, and are easily moved among each other. Philosophers have generally imagined that the particles of which fluids are composed must be exceedingly small, because with their best glasses, they have never been able to discern them. And they contend that these particles must be round and smooth, since they are so easily moved among one another. This supposition will account for many circumstances which belong to them. If they are round, there must be vacant spaces between them. If a number of cannon balls were placed in a large vessel so as to fill it up even with the edge; though it would hold no more of these balls, yet a great number of smaller shot might be placed in the vacuities between them: and when the vessel would contain no more small shot, a great quantity of sand might be shaken in, and between the pores of these, water or other fluids would readily insinuate themselves. In a similar manner, a certain quan tity of particles of sugar can be taken up in water without increasing the bulk, and when the water has dissolved the sugar, salt may be dissolved in it, and yet the bulk remain the same. And this is easily accounted for, if we admit the particles of water to be round. Fluids are either non-elastic and incompressible, as water, oil, mercury, and others, or elastic and compressible, as air, steam, and the different gases. The science which treats of 48 PRESSURE OF FLUIDS. the nature, gravity, pressure, and motion of fluids, in general, and of the methods of weighing solids in them, is called hydrostatics. The non-elastic fluids are said to be incompressible, not because they are absolutely so, but because their compressibility is so very small as to make no sensible difference in calculations relative to their several properties. It has been found that water will find its way through the pores of gold, rather than suffer itself to be compressed into a smaller space. At Florence, a celebrated city in Italy, a globe made of gold was filled with water, and closed so accurately that none of it could escape. The globe was then put into a press, and a little flattened at the sides: the consequence of which was, that the water came through the fine pores of the golden globe, and stood upon its surface like drops of dew. It was concluded at that time that water was incompressible. Later experiments, however, have shown, that those fluids which were esteemed incompressible, are, in a very small degree, as, perhaps, one part in twenty thousand, capable of compression. Fluids are subject to the same laws of gravity as solids; but their want of cohesion occasions some peculiarities. The parts of a solid are so connected as to form a whole, and their weight is concentrated in a single point, called the centre of gravity; but the atoms of a fluid gravitate independently of each other. It is on this account that water always finds its level; for when any particle accidentally finds itself elevated above the rest, it is attracted down to the level of the surface, and the readiness with which water yields to the slightest impression, will enable the particle by its weight to penetrate the surface and mix with it. The particles of a fluid acting thus independently, press against each other in every direction, not only downwards but upwards, and laterally or sideways, and in consequence of this equality of pressure, every particle remains at rest in the fluid. If you agitate the fluid you disturb this equality of pressure, and it will not rest till its equilibrium or level is restored. pressure downwards is the effect of gravity, and if there were no lateral pressure, water would not run out of an opening on the side of a vessel. The lateral pressure proceeds entirely from the downward pressure, or the weight of the liquid above; and consequently the lower. an orifice is made in a vessel, the greater will be the velocity of the water rushing The PRESSURE OF FLUIDS. 49 out of it. In a cubical vessel the pressure downwards will be double the lateral pressure on one side; for every particle at the bottom of the vessel is pressed upon by a column of the whole depth of the fluid, whilst the lateral pressure diminishes from the bottom upwards to the surface, where the particles have no pressure. The upward pressure of fluids may be shown by a machine, called the hydrostatic bellows. It consists of two oval or round boards, covered with leather so as to rise and fall like the common bellows, but without valves. A long tube is fixed to the upper board and weights placed upon it. When the tube is supplied with water, it will, by its upward pressure, sustain and lift up the weights. The pressure of water and other fluids differs from the gravity or weight, in this respect; the weight is according to the quantity; but the pressure is according to the perpendicular height. Dr. Goldsmith relates that he once saw a strong hogshead split by the following experiment. A strong small tube, made of tin, about twenty feet long, was cemented into it, and then water was poured in to fill the cask; when it was full and the water had risen nearly to the top of the tube, the vessel burst with a prodigious force. This extraordinary power may be greatly increased by a forcing piston placed in the tube. A similar method has been adopted in forming a machine, called a hydrostatic press, by which hay or cotton may be brought into a compass twenty or thirty times less than it usually occupies. QUESTIONS.-1. What is a fluid? 2. What have philosophers generally imagined respecting the particles of fluids? 3. What illustration is given respecting the vacant spaces between the particles of fluids? 4. What are the two kinds of fluids? 5. Define Hydrostatics. 6. Why are the non-elastic fluids said to be incompressible? 7. Describe the experiment made at Florence. 8. What was concluded at the time, and what have later experiments shown? 9. What is the difference between the gravity of fluids and solids? 10. Why does water always find its level? 11. What is said of the direction in which fluids press? 12. What is the cause of the downward and lateral pressure? 13. What is said of the lateral pressure in a cubical vessel? 14. How may the downward pressure be shown? 15. How does the pressure of a fluid differ from the weight? 16. What is related by Dr. Goldsmith? 17. What is said of the hydrostatic press? 18. Illustrate the pressure of fluids by figures 25. 24. and 23. 19 What is said of what is called the hydrostatical paradox? 5 50 SPECIFIC GRAVITY OF BODIES. LESSON 24. Specific Gravity of Bodies. By the specific gravities of bodies we mean the relative weights, which equal bulks of different bodies have to each other. And it is usual to compare them with that of water, as it is by weighing bodies in water that their specific gravities are found. A body immersed in a fluid will sink to the bottom, if it be heavier than its bulk of fluid; if it be suspended therein, it will lose as much of what it weighed in air, as its bulk of the fluid weighs. The instrument generally used for obtaining the specific gravities is called the hydrostatical balance; it does not differ much from the common balance. The general rule for finding the specific gravity of a solid, heavier than water, as a piece of metal, is this weigh the body first in air, in the usual way, then weigh it when it is plunged in water, and observe how much it loses of its weight in this fluid, and dividing the former weight by the loss sustained, the quotient is the specific gravity of the body, compared with that of water. As an example, it is usual to take a guinea, which weighs in air one hundred and twenty-nine grains, and when suspended by means of a fine hair, and immersed in water, it is found to balance one hundred and twenty-one grains and three-quarters, losing of its weight seven grains and a quarter; now one hundred and twenty-nine divided by seven and a quarter, gives about seventeen for the quotient; that is, the specific gravity of a guinea compared with that of water, is as about seventeen to one. And thus, any piece of gold may be tried, by weighing it first in air, and then in water; and if, upon dividing the weight in air, by the loss in water, the quotient comes to be about seventeen, the gold is goods if the quotient be eighteen, or between eighteen and nineteen, the gold is very fine; but if it be less than seventeen, the gold is too much alloyed with some other metal. The same principle is universal. Hence we see the reason why boats or other vessels float on water; they sink just so low, that the weight of the vessel, with its contents, is equal to the quantity of water which it displaces. The method of ascertaining the specific gravities of bodies, was discovered by SPECIFIC GRAVITY OF BODIES. 51 Archimedes, in the following manner. Hiero, king of Syracuse, having given to a workman a quantity of pure gold, of which to make a crown, suspected that the artist had kept part of the gold, and adulterated the crown with a baser metal. The king applied to Archimedes to discover the fraud. The philosopher long studied it in vain, and at length accidentally hit upon a method of verifying the king's sus picion. Going one day into a bath, he took notice that the water rose in the bath, and immediately reflected that any body, of equal bulk with himself, would have raised the water just as much; though a body of equal weight, but not of equal bulk, would not raise it so much. From this idea he conceived a mode of finding out what he so much wished, and was so transported with joy, that he ran out of the bath, crying out in the Greek tongue, "I have found it, I have found it!" Now, since gold was the heaviest of all metals known to Archimedes, it occurred to him that it must be of less bulk, according to its weight, than any other metal; and he, therefore, desired that a mass of pure gold, equally heavy with the crown when weighed in air, should be weighed against it in water, conjecturing that if the crown was not alloyed, it would counterpoise the mass of gold when they were both immersed in water, as well as it did when they were weighed in air. But upon making trial, it was found that the mass of gold weighed much heavier in water than the crown did : nor was this all-when the mass and crown were immersed separately in the same vessel of water, the crown raised the water much higher than the mass did; which showed it to be alloyed with some lighter metal that increased its bulk. And upon this principle is the doctrine of the specific gravities of bodies founded. QUESTIONS.-1. What is meant by the specific gravities of bodies? 2. What is said of a body immersed in a fluid? 3. What is the general rule for finding the specific gravity of a solid heavier than water? 4. What example is given? 5. How may a piece of gold be tried? 6. Why do vessels float? 7. What incident led to the method of discovering the specific gravities of bodies? 8. Who made the discovery, and how? 9. Explain the method and the result. 10. Explain by fig. 14. the use of the hydrostatic balance. 11. Describe the hy drometer. |