Water in an irrigation ditch of width w = 4.72 m and depth d= 0.94 m flows with

Question

Water in an irrigation ditch of width w = 4.72 m and depth d= 0.94 m flows with a speed of 0.147 m/s. The mass flux of the flowing water through an imaginary surface is the product of the water's density (1000 kg/m3) and its volume flux through that surface. Find the mass flux through the following imaginary surfaces: (a) a surface of area wd, entirely in the water, perpendicular to the flow;


(b) a surface with area 3wd/2, of which wd is in the water, perpendicular to the flow;


(c) a surface of area wd/2, entirely in the water, perpendicular to the flow;


(d) a surface of area wd, half in the water and half out, perpendicular to the flow


(e) a surface of area wd, entirely in the water, with its normal 40° from the direction of flow.

Explanation / Answer

a surface of area wd/2, entirely in the water, perpendicular to the flow;

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