Water flowing through a garden hose of diameter 2.72 cm fills a 21.0 L bucket in

Question

Water flowing through a garden hose of diameter 2.72 cm fills a 21.0 L bucket in 1.60 min. What is the speed of the water leaving the end of the hose? A nozzle is now attached to the end of the hose. If the nozzle diameter is one-third the diameter of the hose, what is the speed of the water leaving the nozzle? An airplane is cruising at an altitude of 10 km. The pressure outside the craft is 0.285 atm; within the passenger compartment, the pressure is 0.96 atm and the temperature is 20 degree C. A small leak occurs in one of the window seals in the passenger compartment. Model the air as an ideal fluid to find the speed of the stream of air flowing through the leak. (Assume the density of air to be 1.20 kg/m3.) m/s

Explanation / Answer

(a) diameter of hose d = 2.72 cm velocity v = ? => area of hose x velocity of water x time = volume of water filled => Avt = Volume of water => v = water Volume/At = 0.376 m/s. (b) velocity inversely proportional to diameter^2 => if diameter is one third => velocity is 9 times the existing = 9*0.376 = 3.38 m/s.

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