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    strong__dan's Avatar
    strong__dan Posts: 41, Reputation: 2
    Junior Member
     
    #1

    Sep 18, 2007, 10:29 PM
    basic physics or math stuff
    The volume of liquid flowing per second is call the volume flow rate Q and has the dimension of [L]^3/[T]. The flow rate of a liquid through a hypodermic needle during an injection can be estimated with the following equation: Q=((pi)(R^n)(P2-P1))/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 needle are P2 and P1, both of which have the dimensions of [M]/{[L][T]^2}. The symbol N represents the viscosity of liquid and has the dimensions of [M]/{[L][T]}. The symbol pi stands for pi and, like the number 8 and the exponent N, has no dimensions. Using dimensional analysis, determine the value of n in the expression for Q. :eek: please need help
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Sep 19, 2007, 07:27 AM
    If you simply substitute the dimensions that you are given into the equation you get this:



    You are told that the units of Q are L^3/T -- can you take it from here to solve for N?

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