Water in an irrigation ditch of width w = 3.22 m and depth d = 1.04 m flows with a speed of 0.207 m/s. The mass flux of the flowing water through an imaginary surface is the product of the water’s density (1000 kg/m 3 ) 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 34.0° from the direction of flow.
Water in an irrigation ditch of width w = 3.22 m and depth d = 1.04 m flows with a speed of 0.207 m/s. The mass flux of the flowing water through an imaginary surface is the product of the water’s density (1000 kg/m 3 ) 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 34.0° from the direction of flow.
Water in an irrigation ditch of width w = 3.22 m and depth d = 1.04 m flows with a speed of 0.207 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 34.0° from the direction of flow.
The velocity field of a fluid v (in meters per second) has divergence div(v)(P) = 3 at the point P = (2, 2, 2). Estimate the flow rate out of the sphere of radius 0.5 meter centered at P.
A 40 cm of honey (denisty = 1.36 g/m3) in one arm of an open U-tube manometer is found to balance a certain column height of vegetable oil (density = 0.91 g/m3). What is the measure of the height of oil?
A torricellian barometer consisting of an inverted tube of mercury in a dish of mercury. When the atmospheric pressure is exactly 1.00 atm, determine the height (h1) of the mercury in the tube?
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