46. A garden hose is used as a siphon to drain a pool, as shown in Figure P2.46. The garden hose has a 3/4-in. inside diameter (ID). Assuming no friction, calculate the flow rate of water through the hose if the hose is 25 ft long. 3/4 in. ID 25 ft long FIGURE P2.46.

Water enters a fountain through a pipe with a cross-sectional area A₁ at a flowrate Q. The pressure in the inlet pipe is p₁. The water then leaves through a nozzle with a cross- sectional area A₂ and at an angle 0, as shown in Figure Q5. Both the inlet and the nozzle are at a height h₂, and the jet reaches a maximum height h3. You may assume that viscosity is negligible. a) Find the horizontal force on the block b) What is the horizontal-component (u₂), vertical component (v₂) and magnitude (V₂) of the velocity of the jet as it leaves the nozzle? c) What is the maximum height of the jet? You may assume that the horiztonal component of velocity is the same at every point in the jet. P₁ A₂. Ө h₂ h3 Figure Q5: Jet emitting from a fountain.

For a pumper truck pumping water to a fire, the back pressure is the additional pressure on the pump caused by the height of the nozzle. (Another way of thinking of back pressure is as the minimum pressure the pumper must produce in order to make water flow out the end of the nozzle.) Consider a pumper at street level pumping water through a hose to firefighters on the top of the ninth floor of a building. If each floor is 16 feet high, what is the head of water at the mouth of the nozzle?

4.4 A tank containing water is placed on a trolley, which is attached to the wall by a cable, as shown in Fig. 4.28. A pipe bend is connected to the tank through which a jet of water is coming out with a velocity of 7.5m/s. If the diameter of the nozzle is 40 mm, calculate the tension in the cable. 7.5 m/s 30% Fig. 4.28 [Ans: 61.215 N]