Question: A flow of (873 mathrm{ft}^{3} / mathrm{s}) passes under a sluice gate in a rectangular channel having a gradual contraction in width from (80 mathrm{ft})

A flow of \(873 \mathrm{ft}^{3} / \mathrm{s}\) passes under a sluice gate in a rectangular channel having a gradual contraction in width from \(80 \mathrm{ft}\) to \(52 \mathrm{ft}\). The channel bed has scoured to a level that is 6 in. below the upstream channel bed, owing to the increased velocity caused by the sluice gate and the contraction. If the upstream flow depth is \(4 \mathrm{ft}\) and the sluice gate opening is \(1.5 \mathrm{ft}\), compute the depth, velocity, and Froude number of the flow at the end of the contraction.

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