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AAKANSH PHYSICS ACADEMY, , Chp10: Properties on Fluids Assignment-2 Topic: Equation of continuity + Bernoulli’s, , , , , , Ql. The cylindrical tube of a spray pump has a cross section of 8.0 cm?, one end of which has 40 fine holes each, diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min™?. What is the speed of ejection of the liquid through, the holes?, , Q2. Water is flowing with a speed of 2 m/s ina horizontal pipe with cross-sectional area decreasing from 2 x 107? m?, to 0.01 m? at pressure 4 x 10* Pa. What will be the pressure at small cross-section?, , Q3. Calculate speed of efflux of kerosene from an orifice ofa tank in which gauge pressure is 4 atin. Density of kerosene, is 0.72 kg per litre. One atmosphere = | kg f cm™?. (1 liter = 10-3m3) :, , Q4. A cylinder of height 20 m is completely filled with water. Find the velocity of efflux of water (in ms~+) through a, small hole on the side wall of the cylinder near its bottom. Given g = 10 ms~?., , Q5. A garden hose having an internal diameter 2.0 cm is connected to a lawn sprinkler that consists of an enclosure, with 24 holes, each 0.125 cm in diameter. If water in the hose has a speed:of 90.0,cmis~*, find the speed of the water, leaving the sprinkler holes., , Q6. A horizontal tube has different cross-sectional areas at points Avand B. The diameter of A is 4 cm and that of B is, 2 cm. Two manometer limbs are attached A and B. When a liquid ofidensity 8.0 g cm~? flows through the tube, the, pressure difference between the limbs of the manometer is 8 cm. Calculate the rate of flow of the liquid in the tube., , (Hint: use venturi-meter formula), , Q7. The reading of pressure meter attached with a closed pipe is 3.5 x 10° Nm~7. On opening the valve of the pipe,, the reading of the pressure meter is reduced to 3.0 x 10° Nm~? ? Calculate the speed of the water flowing in the pipe, , Q8. A plane is in level flight at constant speed and each of its two wings has an area of 25 m?. If the speed of the air is, 180 km/h over the lower wing and 234 km/h over the upper wing surface, determine the plane's mass. Take air density, , to be 1kgm™? and g = 9.81 ms~?, , Q9. Water from a tap emerges vertically the downward with an initial speed of 1.0 ms sectional area of the tap-is, 10~* m? .Assume that the pressure is constant throughout the stream of water, and that the flow is steady. What is the, cross-sectional area of the stream.0.15 m below the tap?, , Q10. A fully loaded Boeing aircraft 747 has a mass of 33 x 10° kg. Its total wing area is 500 m. It is in level flight, with a speed of 960:km/h. (a) Estimate the pressure difference between the lower and upper surfaces of the wings. (b), Estimate the fractional inerease in the speed of the air on the upper surface of the wing relative to the lower surface., The density of air is p= 1.2 kg m™3 and g =9.81 ms~2?, , QILA drum, of 30 cm radius has a capacity of 220 dm? of water. It contains 198 dm? of water and is placed on a solid, block of exactly the same size as of drum. Ifa small hole is made at lower end of drum. perpendicular to its length, find, the horizontal range of water on the ground in the beginning. (Given g = 980 cm s~* ;1dm = 0.1m or 10cm)., , Q12. In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of, the wing are 70 ms~ ‘and 63 ms~* respectively. What is the lift of the wing if its area is 25 m2?, , Density of air = 1.3 kg m73., , Q13. A horizontal pipe line carries water in a streamline flow. At a point along the pipe where the cross-sectional area, is 10 em?, the water velocity is | ms~* and the pressure is 2000 Pa. What is the pressure at another point where the, cross-sectional area is 5 cm? ?

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Contact No. 8860649871 AAKANSH PHYSICS ACADEMY Assignment-1, , Q14. Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross-sectional area of beaker is 0.1., The square of the speed of the liquid coming out from the orifice the orifice and the is (g = 10m/s?), , (a) 50 m/s? (b) 50.5 m/s” (c)51'm2/s? (d) 52 m/s?, , , , Q15.Velocity of flow of water in a horizontal pipe is 4.9 ms~*. Find the velocity head of water., , QI16. Calculate the total energy possessed by one kg or of water at a point where the pressure is 20.9 fi /mm?, velocity, is 0.1 ms~? and the height is 50 cm above the ground level., , QI7. An aircraft has a mass of 50 x 10° kg. Its total wing span of 1000 m?. It is itvlevel ss Dee with a speed of 720, km/h. Estimate the pressure difference between the lower and upper surfaces of the wings» g=10 ms~?, , , , Answer keys, , , , 1. 0.637 ms~+ 2.3.4 x 10* Pa, 3. 33.5 ms fe , 4, 20ms"t, 5.9.6 cms~? 6. 406 cm3s~4, 7. 10ms~ 8. 4396 ke, , 9. 5x 1075 m2 4 10. 8% (approx.), 11. (147.6 cm). 12.1512.9N, 132500 Pa 14, 50 m2/s?, 15::1.225m 16. 200.9], , 17. (a)5 x 104 Pa