In one form of plethysmograph (a device for measuring volume), a rubber capillary tube with an inside diameter of 1.41 mm is filled with mercury at 20°C. The resistance of the mercury is measured with the aid of electrodes sealed into the ends of the tube. If 100.00 cm of the tube is wound in a spiral around a patient's upper arm, the blood flow during a heartbeat causes the arm to expand, stretching the tube to a length of 100.08 cm. From this observation, and assuming cylindrical symmetry, you can find the = 9.4 x 10-7. m. change in volume of the arm, which gives an indication of blood flow. Take PHg (a) Calculate the resistance of the mercury. Ω (b) Calculate the fractional change in resistance during the heartbeat. Hint: Because the cylindrical volume is constant, V = A; L₁ = A₁L₁ and A₁ = A;(L;/Lp). % increase

In one form of plethysmograph (a device for measuring volume), a rubber capillary tube with an inside diameter of 1.41 mm is filled with mercury at 20°C. The resistance of the mercury is measured with the aid of electrodes sealed into the ends of the tube. If 100.00 cm of the tube is wound in a spiral around a patient's upper arm, the blood flow during a heartbeat causes the arm to expand, stretching the tube to a length of 100.08 cm. From this observation, and assuming cylindrical symmetry, you can find the = 9.4 x 10-7. m. change in volume of the arm, which gives an indication of blood flow. Take PHg (a) Calculate the resistance of the mercury. Ω (b) Calculate the fractional change in resistance during the heartbeat. Hint: Because the cylindrical volume is constant, V = A; L₁ = A₁L₁ and A₁ = A;(L;/Lp). % increase

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

In one form of plethysmograph (a device for measuring volume), a rubber capillary tube with an inside diameter of 1.41 mm is filled with mercury at 20°C. The resistance of
the mercury is measured with the aid of electrodes sealed into the ends of the tube. If 100.00 cm of the tube is wound in a spiral around a patient's upper arm, the blood
flow during a heartbeat causes the arm to expand, stretching the tube to a length of 100.08 cm. From this observation, and assuming cylindrical symmetry, you can find the
change in volume of the arm, which gives an indication of blood flow. Take
PHg
= 9.4 x 10-7. m.
(a) Calculate the resistance of the mercury.
Ω
(b) Calculate the fractional change in resistance during the heartbeat. Hint: Because the cylindrical volume is constant, V = A;L; = AƒLƒ and Aƒ = A;(L;/Lf).
% increase

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