Problem 16.51 Part A A respiration detector monitors a person\'s breathing. One

Question

Problem 16.51 Part A A respiration detector monitors a person's breathing. One type consists of a flexible hose filled with conductive salt water (resistivity of 5.0 ·m). Electrodes at the ends of the tube measure the resistance of the fluid in the tube. The tube is wrapped around a person's chest. When the person inhales and exhales, the tube stretches and contracts and its resistance changes Determine the factor by which the resistance of the fluid changes when the hose is stretched so that its length increases by a factor of 1.1. The water volume remains constant. Express your answer using two significant figures i A2op Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

resistance R = rho*L/A

Resistance R = rho*L*L/(A*L)

R = rho*L^2/V

V = volume = Area*Length

R = rho*L/V

R' = rho*L'/V

since volume is constant

R'/R = (L'/L)^2

L' = 1.1*L

R'/R = 1.1^2

R'/R = 1.21 <<<<---------ANSWER

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