Water is flowing continuously from a tap having an internal diameter 8 x 10-3 m. The water velocity as it leaves the tap is 0.4 ms-1. The diameter of the water stream at a distance 2 x 10-1 m below the tap is close to (a) 5.0 × 10-3 m (b) 7.5 × 10-3 m (c) 9.6 × 10-3 m (d) 3.6 x 10-3 m

A water line with an internal radius of 6.89 x 103 m is connected to a shower head that has 12 holes. The speed of the water in the line is 0.982 m/s. (a) What is the volume flow rate in the line? (b) At what speed does the water leave one of the holes (effective hole radius = 3.14 x 104 m) in the head? (a) Number i (b) Number i Units Units

Water flows through a water hose at a rate of Q1 = 640 cm3/s, the diameter of the hose is d1 = 2.2 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of v2 = 11.6 m/s. Calculate the cross-sectional area of the nozzle, A2 in square centimeters.

For the cellar of a new house, a hole is dug in the ground, with vertical sides going down 2.40 m. A concrete foundation wall is built all the way across the 10.50 m width of the excavation. This foundation wall is 0.177 m away from the front of the cellar hole. During a rainstorm, drainage from the street fills up the space in front of the concrete wall, but not the cellar behind the wall. The water does not soak into the clay soil. Find the force that the water causes on the foundation wall. For comparison, the weight of the water is given by 2.40 m x 10.50 m x 0.177 m x 1000 kg/m3 x 9.80 m/s2 = 43.7 kN. N.

A sealed tank containing seawater to a height of 11.0 m also contains air above the water at a gauge pressure of 3.00 atm. Water flows out from the bottom through a small hole. How fast is this water moving? (Assume that the cross-sectional area of the tank (A1) is much larger than the cross-sectional area of the hole ( A2), so v_1 << v_2 and the (1/2)ρ(v_1)^2 term can be neglected.)

A cylindrical tank with a large diameter is filled with water to a depth D = 0.273 m. A hole of cross-sectional area A = 5.03 cm² in the bottom of the tank allows water to drain out. (a) What is the rate at which water flows out, in cubic meters per second? (b) At what distance below the bottom of the tank is the cross-sectional area of the stream equal to one-half the area of the hole? (a) Number i (b) Number i Units Units

A B •50 Figure 14-46 shows two sections of an old pipe system that runs through a hill, with distances da = dg = 30 m and D = 110 m. On each side of the hill, the pipe radius is 2.00 cm. However, the radius of the pipe inside the hill is no longer known. To determine it, hydraulic engineers first establish that water flows through the left and right sections at 2.50 m/s. Then they re- lease a dye in the water at point A and find that it takes 88.8 s to reach point B. What is the average radius of the pipe within the hill? ? da dg %3D Figure 14-46 Problem 50.

45. The figure shows water that flows in a continuous stream from a pipe with cross-sectional area A₁. The water exits the pipe with initial speed vi toward the ground. After the water has fallen a distance h, the cross-sectional area of the stream is A2. Which of the following is equal to the ratio *AT 50 (A). 11 √v² - 2gh V1 (B) Q (D) v+2gh -2gh V1 √√²+2gh

A tank in the form of a right-circular cylinder of radius 0.4 m and height 3 m is standing on end. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to CA,√2gh. If the tank is initially full of water, and water leaks from a circular hole of radius 17.5 mm at its bottom, determine a differential equation for the height h of the water at time t. Ignore friction and contraction of water at the hole, that is let c = 1. (Assume the acceleration due to gravity g is 9.8 m/s². Round your numeric value to five decimal places.) dh dt = eBook -3 8.47392 10 3 √h

A man of a mass 65 kg stands on a solid floating water. If the solid has a density of 0.6/cm3 and the man standing on it is just barely out of the surface of the water, determine the volume of the solid.