College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 9 - Problems - Page 363: 59


Viscosity has SI units of pascal-seconds.

Work Step by Step

Poiseuille's law: $Q = \frac{\pi~P~r^4}{8~\eta~L}$ $Q$ is the flow rate ($m^3~s^{-1}$) $P$ is the pressure ($Pa$) $r$ is the radius ($m$) $\eta$ is the fluid viscosity $L$ is the length of the tube ($m$) We can rearrange the equation: $\eta = \frac{\pi~P~r^4}{8~Q~L}$ We can replace the variables on the right side of the equation with their units: $\frac{(Pa)~(m)^4}{(m^3~s^{-1})~(m)} = Pa \cdot s$ Viscosity has SI units of pascal-seconds.
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