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* 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.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 30PQ
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* 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.
Transcribed Image Text:* 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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