Part A

Water in the triangular trough is at a depth of $y=3ft.$ The drain is

opened at the bottom, and water flows out at a rate of

$V=(4\mathrm{.}17y^{\frac{1}{2}})f\frac{t}{s},$ where $y$ is in feet. The trough has a width of

$2$ ft $.$ The slit at the bottom has a cross$-$sectional area of $26i{n}^2.$

$($Figure $1)$

Figure

$1$ of $1$

Determine the time needed for the water to reach a depth of $y=2ft.$

Express your answer to three significant figures and include the appropriate units.

$t=$

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Provide FeedbackAs nitrogen is pumped into the closed cylindrical tank, the mass flow through the tube is m$=(0\mathrm{.}4\backslash$rho $1/2)$slug$/$s