Question

PRACTICE IT Use the worked example above to help you solve this problem. A patient receives a blood transfusion through a needle of radius 0.25 mm and length 2.1 cm, The density of blood is 1,050 kg/m3. The bottle supplying the blood is 0.500 m above the patient's arm. What is the rate of flow through the needle? 1.39E-7 m2/s EXERCISE I I'M STUCK! HINTS: GETTING STARTED A pipe carrying water from a tank 19.5 m tall must cross 3.20 x 102 km of wilderness to reach a remote town. Find the radius of the pipe so that the volume flow rate is at least 0.0500 m3/s. (Use the viscosity of water at 20°C, 1.0 x 10-3 N s/m2.) Need Help? Read It Talk to a Tutor

Answer 1

Volume flow rate, Q = (pi R^4 dP)/(8 n L)

R = (8 n L Q/pi dP)^(1/4)

R = [(8 x 1000 x 3.2 x 10^5 x 0.05)/(pi x (1000 x 9.8 x 19.5))]^(1/4)

R = 3.82 m

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