In cardiovascular physiology the resistance R of a blood vessel of radius r and long L obeys the following equation R=8Ln/πr4 where the Greek letter eta represents the viscosity of the blood. Suppose that a certain arteriole reduces its resistance at the rate of –1,000mmHg ∙ min. ∙ L-1 per minute elapsed. At what rate does its radius increase the instant it has a magnitude of 150μm and the resistance R of the arteriole is 3 x 106mmHg ∙ min. ∙ L-1?

In cardiovascular physiology the resistance R of a blood vessel of radius r and long L obeys the following equation R=8Ln/πr4 where the Greek letter eta represents the viscosity of the blood. Suppose that a certain arteriole reduces its resistance at the rate of –1,000mmHg ∙ min. ∙ L-1 per minute elapsed. At what rate does its radius increase the instant it has a magnitude of 150μm and the resistance R of the arteriole is 3 x 106mmHg ∙ min. ∙ L-1?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 25P: The quantity of charge through a conductor is modeledas Q=4.00Cs4t41.00Cst+6.00mc .What is the...

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