At your house, you have a rain barrel with a capacity of 55 gallons connected to a gutter system. Along the roofline, this gutter system is a rectangular channel that is 6 inches wide (into the page). When it rains, the velocity profile of runoff in this gutter varies with depth according to the equation v = y³ ft/s, where y is the depth of water in the gutter in feet. If you wanted to fill an empty rain barrel within 2 hours, what would the depth of water in the gutter need to be during this time? Draw a control volume and state assumptions as needed. gutter Potentially useful information: 1 ft3 = 7.48 gallons 12 inches = 1 ft QH20 1.94 slugs/ft³ 60 sec = 1 min 60 min = 1 hr Rain Barrel 55 gal Gutter System 6 inches wide (into page) Vgutter = y³ ft/s House *not drawn to scale -----y=0 ft
At your house, you have a rain barrel with a capacity of 55 gallons connected to a gutter system. Along the roofline, this gutter system is a rectangular channel that is 6 inches wide (into the page). When it rains, the velocity profile of runoff in this gutter varies with depth according to the equation v = y³ ft/s, where y is the depth of water in the gutter in feet. If you wanted to fill an empty rain barrel within 2 hours, what would the depth of water in the gutter need to be during this time? Draw a control volume and state assumptions as needed. gutter Potentially useful information: 1 ft3 = 7.48 gallons 12 inches = 1 ft QH20 1.94 slugs/ft³ 60 sec = 1 min 60 min = 1 hr Rain Barrel 55 gal Gutter System 6 inches wide (into page) Vgutter = y³ ft/s House *not drawn to scale -----y=0 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:At your house, you have a rain barrel with a capacity of 55 gallons connected to a gutter
system. Along the roofline, this gutter system is a rectangular channel that is 6 inches wide (into
the page). When it rains, the velocity profile of runoff in this gutter varies with depth according to
the equation v = y³ ft/s, where y is the depth of water in the gutter in feet. If you wanted to
fill an empty rain barrel within 2 hours, what would the depth of water in the gutter need
to be during this time? Draw a control volume and state assumptions as needed.
gutter
Potentially useful information:
1 ft3 = 7.48 gallons
12 inches = 1 ft
QH20 1.94 slugs/ft³
60 sec = 1 min
60 min = 1 hr
Rain Barrel 55 gal
Gutter System
6 inches wide (into page)
Vgutter = y³ ft/s
House
*not drawn to scale
-----y=0 ft
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