A cylindrical bucket, open at the top, is 28.0 cmcm high and 13.0 cmcm in diameter. A circular hole with a cross-sectional area 1.66 cm2cm2 is cut in the center of the bottom of the bucket. Water flows into the bucket from a tube above it at the rate of 2.36x10-4 m3/sm3/s. How high will the water in the bucket rise? Express your answer in centimeters.
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- 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.
- A rectangular bucket, open at the top, is 29.6 cm high and 14.7 cm long, and 11.4 cm wide. A circular hole with a cross-sectional area of 1.91 cm? is cut in the center of the bottom of the bucket. Water flows into the bucket from an external tube above it at the rate of 2.27x10-4 m3/s. What is the maximum height (in meters) reached by the water? Final answer in two decimal places.Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.3 cm2, and the right arm has a cross-sectional area A2 of 4.70 cm2. Two hundred grams of water are then poured into the right arm as shown in Figure b. (a) Determine the length of the water column in the right arm of the U-tube. cm(b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm? cmOn another planet that you are exploring, a large tank is open to the atmosphere and contains ethanol. A horizontal pipe of cross-sectional area 7.0×10−4m27.0×10−4m2 has one end inserted into the tank just above the bottom of the tank. The other end of the pipe is open to the atmosphere. The viscosity of the ethanol can be neglected. You measure the volume flow rate of the ethanol from the tank as a function of the depth hh of the ethanol in the tank. If you graph the volume flow rate squared as a function of hh, your data lie close to a straight line that has slope 2.09×10−5m5/s22.09×10−5m5/s2. What is the value of gg, the acceleration of a free-falling object at the surface of the planet? Express your answer with the appropriate units.
- A cube of wood having an edge dimension of 18.7 cm and a density of 651 kg/m° floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? cm (b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface? kgA very large water tank, open at the top, has a small hole in the bottom. Assume that the area of the hole is much much smaller than the area of the top of the tank. When the water level is 34.6 m above the bottom of the tank, what is the speed of the water leaking from the hole? Express your answer in m/s, to at least one digit after the decimal point.Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.85 105 Pa and 1.15 105 Pa. The radius of the pipe at points 1 and 2 respectively is 3.40 cm and 1.10 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine the following. (a) speed of flow at point 1 (b) speed of flow at point 2 m/s(c) volume flow rate of the fluid through the pipe
- A cylindrical bucket, open at the top, is 35.0cm high and 9.0cm in diameter. A circular hole with a cross-sectional area 1.75cm^2 is cut in the center of the bottom of the bucket. Water flows into the bucket from a tube above it at the mtc of 3.20x10-4 m3/s. How high will the water in the bucket rise?A cube of wood having an edge dimension of 22.1 cm and a density of 651 kg/m³ floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? cm (b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface? kgThe small piston of a hydraulic lift (see figure below) has a radius of r1= 1.00 cm, and its large piston has a radius of r2=9.45 cm. What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load of mass 1500 kg? Answer: N.