Question

543 PM Wed Nov 20 webassinet - Private SOLUTION Calculate the pressure difference Substitute into Poiseuille's low P.-P2 - pgh (1,050 kg/m) (9.80 m/s> )co.500 m) - 5.15 x 10 Av. RP,-) -(20 x 10-4 m)" (5.15 x 10"Pa) 8(2.7 x 10-Ns/m?) (2.0 x 10-2 m) 6.0 x 10-8 m /s LEARN MORE REMARKS Compare this to the volume flow rate in the absence of any viscosity. Using Bernouli's equation, the calculated volume flow rate is approximately five times as great. As expected, viscosity greatly reduces flow rate. QUESTION It the radius of a tube is doubled, by what factor will the flow rate che viscous PRACTICE IT Use the worked example above to help you solve this problem. A patient receives a blood transch through a needle of radius 0.24 mm and length 1.6 cm, The density of blood is 1,050 kg/ml. The bottle supplying the blood is 0.500 m above the patient's arm. What is the rate of flow through the needle? EXERCISE HINTS: GETTING STARTED I IM STUCK! A pipe carrying water from a tank 16.5 m tall must cross 2.80 X 10km of wilderness to reach a remote town. Find the radius of the pipe so that the volume flow rate is at least 0.0500 m /s (Use the viscosity of water at 20°C, 1.0 10-Now )

Answer 1

The rate of flow and radius

A A of Learn more AV a RY of Ryak then can ' = 16. at will change by falte 16 Practice at AV = TRY ( L - P ) - HRY (San) _fnL ful AVE IT (0-24880-339 (lasoxs:9X o's) At 8 X 2.7x10 3 x 1.6X10 Si = loss x167 mic

Exercise it | AV = IT RY (PP) SNL = TRY fg h SRL A R= AV XONL C at tegn R4 - 00sx 8 x boxió" x pipoxlorm IT X 1000 x 9,8 x 1633 R9= o.ooo 22os R = (0.000 2205) a [R = 0.122 m