Consider the flow of water in a pipe of length (2 mathrm{~m}) with an imposed pressure difference

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Consider the flow of water in a pipe of length \(2 \mathrm{~m}\) with an imposed pressure difference of \(1000 \mathrm{~Pa}\). Find the flow rate if

(a) the pipe has a uniform cross-section of diameter \(2 \mathrm{~cm}\) and

(b) the pipe is tapered with an inlet diameter of \(2 \mathrm{~cm}\) and an exit diameter of \(3 \mathrm{~cm}\). Assume the flow is laminar in both cases.

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