1)A cylindrical water-tank has a small hole 60cm above the flooron which the tank stands. The depth of water in the tank is1.8m.Assume the diameter of the tank to be greater than that of thehole. 1a) Find the horizontal distance from the side of the tank tothe point on the floor where the stream of water lands. 1b) At whatother height from the base of the tank would a second hole bedrilled for water from this hole to strike the base at the samepoint as the first hole?
2) Water flows along the horizontal pipe cross section area48cm2Â Â which has a constriction of crosssection area 12cm2 at one place. If the speed of waterat the constriction is 4m/s, calculate the speed in the widersection and hence the pressure at the constriction if the pressurein the wider section is 1.0 x 105 pa. Density of wateris 1000kg/m3
3)What volume of water will escape per minute from a tankthrough an opening 2cm in diameter and 5m below the level ofwater?
4)A venturi meter is equipped with a deferential mercury meter.The inlet diameter is 30cm and the throat diameter is 15cm. Findthe ideal flow of water through the meter if the difference inheight between the mercury columns is 23cm. Relative density ofmercury is 13.6
5) Mercury at 20 degrees Celsius is flowing in a pipe of 50mmdiameter at a certain point A with velocity 1.83m/s2 thepipe travels to point B, 3.78m above A, where the diameter has beenreduced to 35mm. The pipe continues to a point C, 1.27m above B atwhich the diameter has changed to 75mm. The gauge pressure at A is596 kpa. The relative density of mercury is 13.6 the atmosphericpressure is 101.325kpa and the gravitational acceleration is9.81m/s2 . What would be the readings of the pressuregauges at points B and C?
6) A tank of large area is filled with water to a depth of 0.3m. A hole of 5cm2 cross section in the bottom allowswater to drain out in a continuous stream. 6a)What is the rate atwhich water flows out the tank in m3/s? 6b) At whatdistance below the bottom of the tank is the cross-sectional areaof the stream equal to one half of the area of the hole?
7)Water enclosed in a tank is subjected to a gauge pressure of6x105 pa, applied by compressed air introduced into thetop of the tank. A small hole of 5cm2 cross sectionalarea is in the side of the tank 5m below the level of the water.Estimate the rate at which water escapes from this hole inm3/hr.
