A PROBLEMS 6.63, 6.64 6.64 This "double" nozzle discharges water (at 10°C) into the atmosphere at a rate of 0.50 m /s. If the nozzle is lying in a horizontal plane, what x-component of force acting through the flange bolts is required to hold the nozzle in place? Note: As- sume irrotational flow, and assume the water speed in each jet to be the same. Jet A is 10 cm in diameter, jet B is 12 cm in diame- ter, and the pipe is 30 cm in diameter.

B8

Only A-C

A garden hose with an internal diameter of 3.5 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 27 holes, each 0.27 cm in diameter. If the water in the hose has a speed of 0.89 m/s, at what speed does it leave the sprinkler holes?

In order to take a nice relaxing bath after this final, you fill up a bathtub with warm water. To fill the tub, water travels at 9 m/s in a pipe under your house. The faucet (where the water exits into the tub) in your house has a diameter twice that of the pipe under your house. The water pressure in the pipe/faucet is the same everywhere. (a) What is the height of your faucet, relative to the pipe under your house? (b) Let's do some special cases sensemaking! If the diameter of the faucet were the same as the diameter of the pipe under your house and the pressure was the same everywhere, what would the height differ ence need to be? explain.

Pr5. Two hemispherical shells of negligible mass and radius R= 1.2 m are put together along their horizontal rim, then the (now complete) sphere is submerged in water. The lower hemisphere is tied to the bottom of the water tank, and this way the center of the sphere is located at depth H = 10 m. Inside the sphere there is air of pressure po = 105 Pa (which is the same as the atmospheric pressure). Find the force exerted by the lower hemisphere on the upper hemisphere. Ро - H po R

A water tank of constant depth H, open to the atmosphere, is connected to the piping system, as shown in Figure P8.45. After a length of pipe L of diameter D, the diameter decreases smoothly to a value of D/2 and then continues on for another length L before exiting to atmosphere. The flow is turbulent and the friction factor f is the same for all piping. CD1 and CD2 are the loss coefficients for the entry and exit. Calculate the depth of the tank required to produce a mean exit velocity of V .  

Suppose you have a 9.6 cm diameter fire hose with a 2.2 cm diameter nozzle. a.) Calculate the pressure drop due to the Bernoulli effect as water enters the nozzle from the hose at the rate of 40.0 L/s. Take 1.00 × 103 kg/m3 for the density of the water.  b.) To what maximum height, in meters, above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)

(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 33.0 m. Assume the density of the water is 1.00 x 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 29.0 cm? N Need Help? Read It

THER The four tires of an automobile are inflated to a gauge pressure of 1.9 x 10° Pa. Each tire has an area of 0.023 m in contact with the ground. Determine the weight of the automobile. N Need Help? Read It