Problem 1: Water flows through a 1 cm diameter pipe with a speed of 1 m/s. What should be the diameter of the nozzle if water is to emerge at 2.1 m/s.
Problem 2: Water is flowing smoothly through a closed pipe system. At one point the speed of water is 3.0 m/s. While at another point 3.0 m higher, the speed is 4.0 m/s. At the lower point, the pressure is 80 kpa. Find the pressure at the upper point.
Problem 3: An aero plane wing is designed so that when the speed of the air across the top of the wing is 450 ms-1, the speed of air below the wing is 410 ms-1. What is the pressure difference between the top and bottom of the wing?
Problem 4: Water flows through a pipe whose internal diameter is 2.0 cm at a speed of 1.0 ms-1. What should be the diameter of the nozzle if water is to emerge at a speed of 4.0 ms-1.
Problem 5: Eight equal drops of oil are falling through air with a steady velocity of 0.1 ms-1. If the drops recombine to form a single drop, what would be the new terminal velocity?
Problem 6: Calculate the speed of efflux of kerosene oil from a narrow hole of a tank in which pressure is 4 atm. Density of kerosene oil is 72 kg m-3. (one atmosphere = 1.03 * 105 pa).
Problem 7: A small sphere of volume V falling in a viscous medium, acquire a terminal velocity vT. What will be the terminal velocity of a sphere of the same material and volume 8 V falling through the same medium?
Problem 8: Determine the radius of a water drop falling through air with a terminal velocity of 0.012 m/s. (Viscosity of air = 0.019 * 10-3 N s m-2 Density of air = 1.2 kg/m3
Density of water = 1.0 * 103 kg/m3).