Calendar: 1869-1870 Page 519

APPLIED SCIENCES 521 Find the number of oscillations performed by pendulum 15 feet long in minutes at place where the seconds pendulum is 39-13 inches long If this is the length in latitude 30 find how much the length must be diminished that it may beat seconds at the pole Spates FIRST YEAR Find an expression in ounces for the upward pressure of liquid on the base of cylindrical vessel held at given depth below the surface and show how this may be verified by experi- ment Mercury is put in one arm of U-shaped tube and water in the other obtain the law regulating their heights above the common surface If two liquids sp gr 13'C and 75 that do not mix are put in the tube and the length of one column is 10 inches what will be the length of the other From the side of square vessel rectangular portion is cut length 10 in and breadth in the upper edge being parallel to the surface of the water in the vessel and 26 in below it what pressure expressed in ounces must be applied on the out- side of this rectangular piece so as just to close the orifice Explain fully method of measuring accurately the atmo- spheric pressure and show that it is possible for tbe flow of water from common pump to be continuous or discontinuous according to the state of the barometer Describe the double-barrelled air pump and obtain formula for the density of the air in receiver after 10 strokes compared with the original density mass of cubic inches of copper of specific gravity 88 is fastened to piece of beech-wood of specific gravity 85 so that it will just float in water find the number of cubic inches of wood Describe the diving bell If the chain of closed diving bell is not strong enough to support it in air what will happen when the bell is lowered to very great depth in water