At 20°C, the viscosity of water is 1.0x10-3 Pa-s and the viscosity of molasses is 51 Pa-s. Consider two tubes of the same length L, with fixed pressure difference Ap across each pipe. If water flows through Pipe 1 and molasses flows through Pipe 2, and both have the same flow rate Q, what is the ratio of the radius of Pipe 2 to Pipe 1?
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- As a person breathes, during the inhale part of the cycle air moves down the windpipe (bronchus) and through a constriction where the air speed doubles. If the air is traveling 41 cm/s before the constriction and we treat air as an incompressible fluid, determine the pressure drop in the constriction. Use the density of air as 1.29 kg/m3.A small artery has a length of 1.10 x 10-3 m and a radius of 2.50 × 10-3 m. If the pressure drop across the artery is 1.55 kPa, what is the flow rate through the artery? Assume that the temperature is 37 °C and the viscosity of whole blood is 2.084 x 10-3 Pa-s. Question Credit: OpenStax College Physics flow rate: m³/sWhen physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate in an artery has been reduced to 14.3% of its normal value by a blood clot and the average pressure difference has increased by 23.0%, by what factor has the clot reduced the radius, ro, of the artery? r= ro
- A horizontal pipe carries a smoothly flowing liquid of density of 1290 kg/m3. At Locations 1 and 2 along the pipe, the diameters are ?1=6.97 cm and ?2=2.65 cm, respectively. Is the flow speed at Location 2 higher or lower than the flow speed at Location 1? cannot tell from the data higher lower The flow speed at Location 1 is 1.39 m/s. What is the pressure difference Δ? between Location 2 and Location 1 (including its sign)? Ignore viscosity. Δ?= Pa Is the pressure at Location 2 higher or lower than the pressure at Location 1? lower higher cannot tellThe Venturi tube shown in the figure below may be used as a fluid flowmeter. Suppose the device is used at a service station to measure the flow rate of gasoline (p = 7.00 x 102 kg/m³) through a hose having an outlet radius of 1.02 cm. The difference in pressure is measured to be P₁ P₂ = 1.90 kPa and the radius of the inlet tube to the meter is 2.04 cm. P₁ P2 (a) Find the speed of the gasoline as it leaves the hose. 2.40 m/s (b) Find the fluid flow rate in cubic meters per second. 0.0007 m³/sWater is flowing into a factory in a horizontal cylindrical pipe with a radius of 0.0193 m at ground level.This pipe is then connected to another horizontal cylindrical pipe with a radius of 0.0360 m on a floor of the factory that is h = 12.6 m higher.The connection is made with a vertical section of pipe and an expansion joint.Determine the volume flow rate that will keep the pressure in the two horizontal pipes the same. m3/s
- a stiff, 15-cm-long tube with an inner diameter of 3.5 mm is attached to a small hole in the side of a tall beaker. the tube sticks out horizontally. the beaker is filled with 20⁰c water to a level 50 cm above the hole, and it is continually topped off to it maintain that level. What is volume flow rate through the tube? The viscosity of water is 1.0×10^-3 Pa×s.A horizontal tube with an inside diameter of 1.5 mm and a length of 29 cm has water flowing through it at 0.25 mL/s. Find the pressure difference required to drive this flow if the viscosity of water is 1 mPa · s. Assume laminar flow. Answer in units of kPa.Find the pressure difference required between the ends of a 2.00 m long, 1.00 mm diameter horizontal tube for 40° C water to flow through it at an average speed of 4.0 m/s. Water at 40° has a viscosity of 0.7 x 10-3 Pa s. The pressure difference is equal to ______x105 Pa. Recall the equation for volume flow rate with viscosity: Δ?Δ?=??4Δ?8??
- Three solid objects are floating in a liquid, as in the drawing. They have different weights and volumes, but have the same thickness (the dimension perpendicular to the screen). Rank the objects according to their density, largest first. O A, C, B O A, B, C O B, A, C O B, C, A O C, A, B CA pumping station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7.40 x 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.80 cm and 1.40 cm, and the difference in input and output pressure is P, - P, = 1.20 kPa. (a) Find the speed (in m/s) of the gasoline as it leaves the hose. m/s (b) Find the fluid flow rate in cubic meters per second. m3/sA hospital patient receives a 600-cc blood transfusion through a needle with a length of 5cm and an inner diameter of 1mm. If the blood bag is suspended 0.75m above the needle, how long will the transfusion take? (You can neglect the viscosity of the blood flowing in the plastic tube between the bag and the needle. Note also that 1 cc = 10-6 m3and that blood has a mass density of ρ = 1060kg m-3 and a molecular viscosity of μ = 3.5 x 10-3 kg m-1 s-1).