[10 points] A steady jet of air of constant density ,9 issues from a nave-dimensional duct of width D and depth a {into the page), as shown in the...
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<p> A steady jet of air of constant density ρ issues from a two-dimensional duct of width D and depth a

(into the page), as shown in the figure, with velocity distribution that is parabolic. The jet supports a plate of width L, depth a (into the page) and weight W (not given in the problem), and the air is deflected horizontally. The side of the plate facing the jet experiences an average pressure p (not given in the problem), and the pressure is atmospheric,

l. [10 points] A steady jet of air of constant density ,9 issues from a nave-dimensional
duct of width D and depth a {into the page), as shown in the figure, with velocity
distribution that is parabolic. The jet supports a plate of width L, depth a (into the
page) and weight W (not given in the problem), and the air is deﬂected horizontally.
The side of the plate facing the jet experiences an average pressure p (not given in the
problem), and the pressure is atmospheric, pa, everywhere else. Ignore the weight of
the ﬂuid. a) Find the average pressure p in terms of L, D, p, pa, and Um.
b) Find the weight of the plate Win terms of L, D, p, and Um.

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