Water from a pipe is coming at a rate of 100 liters per minute. If the radius of the pipe is 5 cm, the Reynolds number for the flow is of the order of (density of water coefficient of viscosity of water = 1mPa s) 1000kg/m³, =
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- A 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 UnitsWhat radius needle should be used to inject a volume of 500 cm3 of a solution into a patient in 30 min? Assume the length of the needle is 2.5 cm and the solution is elevated 1.0 m above the point of injection. Further, assume the viscosity and density of the solution are those of pure water, and that the pressure inside the vein is atmospheric.What radius needle should be used to inject a volume of 497 cm3 of a solution into a patient in 32 min? Assume the length of the needle is 2.5 cm and that the solution is elevated 1.0 m above the point of injection. Further, assume the viscosity and density of the solution are those of pure water, and that the pressure inside the vein is atmospheric. (The density of water is 1.00 ✕ 103 kg/m3.) ?mm
- What radius needle should be used to inject a volume of 497 cm3 of a solution into a patient in 27 min? Assume the length of the needle is 2.5 cm and that the solution is elevated 1.0 m above the point of injection. Further, assume the viscosity and density of the solution are those of pure water, and that the pressure inside the vein is atmospheric. (The density of water is 1.00 ✕ 103 kg/m3.)What is the velocity of flow of a liquid with a volume flow rate of 1.4 L/s travelling through a pipe of radius 9.5 cm?A cylindrical container with a cross-sectional area of 66.2 cm² holds a fluid of density = 943 kg/m³. At the bottom of the container the pressure is 114 kPa. Assume Pat 101 kPa. What is the depth of the fluid, in meters?
- Gold can be hammered into decorative gold leaf, which is only 1.00E-07 m thick. If 1.50 troy ounce of gold is hammered into gold leaf, what is the area that can be covered when used for decoration? 1 troy ounce = 31.1 g, and the density of gold is 19.3 g/cm3.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 UnitsIf a kitchen sink has a volume of 20 L. Water flows in the sink with a mass flow rate of 0.5 kg/s. If the drain is closed, how long, in seconds, does it take for the sink to fill up? Density of water = 1000 kg/m3
- If liquid enters a horizontal conduit with circular cross-sectional radius of 2 m at 8 m/a and exists the conduit a short distance later after the cross-sectional radius has increased to 2.5 m, what is the density of the fluid if the pressure is 11,000 Pa greater at the exit?If you were to break the 64 mm capillary in half and repeat the flow rate measurement with water, how would your measured values change?A man of a mass 65 kg stands on a solid floating water. If the solid has a density of 0.6/cm3 and the man standing on it is just barely out of the surface of the water, determine the volume of the solid.