HOMEWORK $4\mathrm{.}1$: Open Channel Flow

Steel box gutters are commonly used to safely route water from roofs. Dimensions for nominally $"6$ inch" box gutters are shown below.

Gutter code in your area dictates that gutters slope downwards $0\mathrm{.}5$ inches for every $10$ feet horizontal toward a downspout. Ignore the effects of the front lip and approximate the gutter as a rectangular open channel with a width of $5-\frac{1}{2}$ inches and a height of $4$ inches made of smooth steel.

Homework $4\mathrm{.}1$: Student Responses

Part$1$ HINT: Convert everything to inches and seconds!

If the flowrate through a gutter needs to be $30gpm($gallons per minute$),$ will the gutter overflow? That is to say, will $d$ be greater than $4$ in$?$

$[$student response$]$ INCHES$/$SECOND

If the gutter does not overflow what will the water depth be in the gutter at this flowrate?

$[$student response$]$

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