A very simplified schematic of the rain drainage system for a home is shown in Fig

Chapter 14, Problem 72

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A very simplified schematic of the rain drainage system for a home is shown in Fig. 14-55. Rain falling on the slanted roof runs off into gutters around the roof edge; it then drains through downspouts (only one is shown) into a main drainage pipe M below the basement, which carries the water to an even larger pipe below the street. In Fig. 14-55, a floor drain in the basement is also connected to drainage pipe M. Suppose the following apply: (1) the downspouts have height h1 11 m, (2) the floor drain has height h2 1.2 m, (3) pipe M has radius 3.0 cm, (4) the house has side width w 30 m and front length L 60m,(5) all the water striking the roof goes through pipe M, (6) the initial speed of the water in a downspout is negligible, and (7) the wind speed isnegligible (the rain falls vertically). At what rainfall rate, in centimeters per hour, will water from pipe M reach the height of the floor drain and threaten to flood the basement? wh1h2MFigure 14-55 72.