Question

9: Problem 7 Previous Problem Problem List Next Problem (1 point) A trough is 10 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = x8 from x = -1 to x = 1. The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot. Your answer must include the correct units. (You may enter Ibf or lb*ft for ft-lb.) Work = Preview My Answers Submit Answers

Answer 1

y-x - y = x 8 wt 62 pounds le 13 Amount of work can be calculated by The wt of the water). (depth of water ) (the Areaf water at given depth) (ht of water) depth of water - loft y = x 8 x=8y work I (62) (10) (2x) dy | (62) (10) (2 854) (1-y) dy The strip have to be lifted at cry) distance we need to integrate the small work from y =o to ya l. I w. f 1240 ay crydy - 1240 [ { y's) - 8 grady 124o 17/87 = 1240 [ 918 1240184 - Bha) 12.40 = 518.69