The volume of liquid flowing per second is called the volumeflow rate Q and has

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The volume of liquid flowing per second is called the volumeflow rate Q and has the dimensions of [L]3/[T]. The flow rate of aliquid through a hypodermic needle during an injection can beestimated with the following equation: Q = Rn(P2 P1)/(8L) Thelength and radius of the needle are L and R respectively both ofwhich have the dimension [L]. The pressures at one end of theneedle and the other end are P2 and P1 both of which have thedimensions of [M]/{[L][T]2}. The symbol represents the viscosity ofthe liquid and has the dimensions of [M]/{[L][T]}. The symbolstands for pi and like the number 8 and the exponent n has nodimensions. Using dimensional analysis determine the value of n inthe expressions for Q.

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