* The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of [L][T]. The flow rate of a liquid through a hypodermic needle during an injection can be estimated 60. with the following equation: TR"(P, – P,) 8nL The length and radius of the needle are L and R, respectively, both of which have the dimension [L]. The pressures at opposite ends of the nee- dle are P, and P, both of which have the dimensions of [M]/{[L][T]*}. The symbol 7 represents the viscosity of the liquid and has the dimen- sions of [M]/{[L][T]}. The symbol 7 stands for pi and, like the number 8 and the exponent n, has no dimensions. Using dimensional analysis, de- termine the value of n in the expression for Q.

* The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of [L][T]. The flow rate of a liquid through a hypodermic needle during an injection can be estimated 60. with the following equation: TR"(P, – P,) 8nL The length and radius of the needle are L and R, respectively, both of which have the dimension [L]. The pressures at opposite ends of the nee- dle are P, and P, both of which have the dimensions of [M]/{[L][T]*}. The symbol 7 represents the viscosity of the liquid and has the dimen- sions of [M]/{[L][T]}. The symbol 7 stands for pi and, like the number 8 and the exponent n, has no dimensions. Using dimensional analysis, de- termine the value of n in the expression for Q.

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

* The volume of liquid flowing per second is called the volume
flow rate Q and has the dimensions of [L][T]. The flow rate of a
liquid through a hypodermic needle during an injection can be estimated
60.
with the following equation:
TR"(P, – P,)
8nL
The length and radius of the needle are L and R, respectively, both of
which have the dimension [L]. The pressures at opposite ends of the nee-
dle are P, and P, both of which have the dimensions of [M]/{[L][T]*}.
The symbol 7 represents the viscosity of the liquid and has the dimen-
sions of [M]/{[L][T]}. The symbol 7 stands for pi and, like the number 8
and the exponent n, has no dimensions. Using dimensional analysis, de-
termine the value of n in the expression for Q.

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