Water flowing out of a 16 mm-diameter faucet fills a 2.0L bottle in 10s. At what distance below the faucet has the water stream narrowed to 10 mm diameter?
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A: rate of flow from the leak = 0.0024 m3/min = 0.0024/60 m3/s = 0.00004 m3/sH = 15.9 m
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- A pressure difference of 1.6 × 103 Pa is needed to drive water (n = 1.0 × 103 Pa-s) through a pipe whose radius is 6.0 × 10-3 m. The volume flow rate of the water is 3.8 × 10-4 m³/s. What is the length of the pipe? Number 0.3538 Units mA cylindrical tank with a large diameter is filled with water to a depth D = 0.356 m. A hole of cross-sectional area A = 6.26 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 Units (b) Number UnitsA cylindrical bucket sitting on the edge of a table has a 3.15 mm diameter hole near the bottom. Water squirts out the hole as shown in the figure below. If the height of the table is H = 1.65 m, determine the height h of the water level in the bucket.
- A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 18.7 m below the water level. If the rate of flow from the leak is 2.80 ✕ 10−3 m3/min, determine the following. (a) Determine the speed at which the water leaves the hole. m/s(b) Determine the diameter of the hole. mmA cylindrical bucket sitting on the edge of a table has a 3.50 mm diameter hole near the bottom. Water squirts out the hole as shown in the figure below. If the height of the table is H = 1.35 m, determine the height h of the water level in the bucket.A nozzle with a radius of 2.5 mm is attached to a garden hose with a radius of 9 mm. The flow rate through hose and nozzle is 500 cm3/s. The speed of water in the hose is
- 5. A large container, 118 cm deep is filled with water. If a small hole is punched in its side 89.0 cm from the top, at what initial speed will the water flow from the hole? m/s ceil6 ceil cci16 ceil6 cA liquid is flowing through a 75.8 squared pipe. The pipe is then reduced to 16.5cm squared and the speed of the liquid is measured to be 17.5m/s. What was the speed of the liquid in the larger pipe?A tall cylinder with a cross-sectional area 15 cm 2 is partially filled with mercury; the surface ofthe mercury is 6.00 cm above the bottom of the cylinder. Water is slowly poured in on top ofthe mercury, and the two fluids don’t mix. What volume of water must be added to double thegauge pressure at the bottom of the cylinder?
- A water tower supplies water through the plumbing in a house. A 2.39-cm-diameter faucet in the house can fill a cylindrical container with a diameter of 41.3 cm and a height of 52.0 cm in 12.0 s. How high above the faucet is the top of the water in the tower? (Assume that the diameter of the tower is so large compared to that of the faucet that the water at the top of the tower does not move.)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 UnitsWater flows through a water hose at a rate of Q1 = 740 cm3/s, the diameter of the hose is d1 = 2.76 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of v2 = 10.4 m/s. Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1. Calculate the numerical value of A1, in square centimeters. Enter an expression for the speed of the water in the hose, v1, in terms of the volume flow rate Q1 and cross-sectional area A1. Calculate the speed of the water in the hose, v1 in meters per second. Enter an expression for the cross-sectional area of the nozzle, A2, in terms of v1, v2 and A1. Calculate the cross-sectional area of the nozzle, A2 in square centimeters.