A conical enlargement in a vertical pipeline is (5 mathrm{ft}) long and enlarges the pipe diameter from

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A conical enlargement in a vertical pipeline is \(5 \mathrm{ft}\) long and enlarges the pipe diameter from 12 in. to 24 in. Calculate the magnitude and direction of the vertical force on this enlargement when \(10 \mathrm{cfs}\) of water flow upward through the line and the pressure at the smaller end of the enlargement is \(30 \mathrm{psi}\).

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