2.16. A horizontal drum, a cross-section of which is shown below, is being filled with benzene (density = 0.879 g/cm³) at a constant rate m(kg/min). The drum has a length L and radius r, and the level of benzene in the drum is h. The expression for the volume of benzene in the drum is V = Lr (a) Show that the equation gives reasonable results for h = 0, h = r, and h = 2r. (b) Estimate the mass of benzene (kg) in the tank if L = 10 ft, r = 2 ft, and h = 4 in. (c) Suppose there is a sight glass on the side of the tank that allows observation of the height of liquid in the tank. Use a spreadsheet to prepare a graph that can be posted next to the sight glass so that an operator can estimate the mass that is in the tank without going through calculations like that in Part (b). 2r

Structural Analysis
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Chapter2: Loads On Structures
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2.16. A horizontal drum, a cross-section of which is shown below, is being filled with benzene
(density = 0.879 g/cm³) at a constant rate m(kg/min). The drum has a length L and radius r, and
the level of benzene in the drum is h. The expression for the volume of benzene in the drum is
V = Lr
(a) Show that the equation gives reasonable results for h = 0, h = r, and h = 2r.
(b) Estimate the mass of benzene (kg) in the tank if L = 10 ft, r = 2 ft, and h = 4 in.
(c) Suppose there is a sight glass on the side of the tank that allows observation of the height of
liquid in the tank. Use a spreadsheet to prepare a graph that can be posted next to the sight glass
so that an operator can estimate the mass that is in the tank without going through calculations
like that in Part (b).
2r
Transcribed Image Text:2.16. A horizontal drum, a cross-section of which is shown below, is being filled with benzene (density = 0.879 g/cm³) at a constant rate m(kg/min). The drum has a length L and radius r, and the level of benzene in the drum is h. The expression for the volume of benzene in the drum is V = Lr (a) Show that the equation gives reasonable results for h = 0, h = r, and h = 2r. (b) Estimate the mass of benzene (kg) in the tank if L = 10 ft, r = 2 ft, and h = 4 in. (c) Suppose there is a sight glass on the side of the tank that allows observation of the height of liquid in the tank. Use a spreadsheet to prepare a graph that can be posted next to the sight glass so that an operator can estimate the mass that is in the tank without going through calculations like that in Part (b). 2r
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