
Through is 12 feet long and 5 feet tall. The parallel vertical cross section through the ends are r?
Through is 12 feet long and 5 feet tall. The parallel vertical cross sections through the ends are triangles with a vertical side of 5 feet and a horizontal side 2 feet wide at the top. The channel is completely filled with water. Find the amount of work in foot-pounds required to empty the stack by pumping water to a level of 5 feet above the top of the stack. Note: The weight of water is 62.5 pounds per cubic foot.
find the slope is y = mx + b y = y = x x = 2/5x 5/2y then all put together. W = int 0 -> 5 (10 years) 62.5 (5/2y) (12) dy = int 0 -> May 1875 (10Y-y ^ 2) dy = 1875 [5a ^ 2 - (3.1) y ^ 3] int 0 -> 5 = 1875 [5 (5) ^ 2 - (1 / 3) (5) ^ 3] = 156,250 pounds-feet hope this helps.
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