Question

Use simpsons rule to approximate the fluid force of the 40 ftvertical wall.

Neatly place all final, clear documentation of your work on this sheet and submit this sheet for grading. You must work in groups of not more than two. Submit one sheet for the Group. Anyone submitting the assignment with only one name on it will have their score reduced. Due: 6/12 An in-ground swimming pool is 40 feet long and 20 feet wide. It is 4 feet deep at one end and 8 feet deep at the other. The bottom of the pool slopes down along a curved path (see figure). Because the owners are experiencing difficulties with the long side-walls, the design engineers recalculate the fluid force on the wall. Starting from the shallow end, the engineers measure the horizontal distance x necessary for each one-half foot change in depth y. The results are given in the following table. Use Simpson's Rule to approximate the fluid force against the 40 ft vertical wall. Be sure to include the units in your answer. (Hint: you will need two integrals.)

Show transcribed image text Neatly place all final, clear documentation of your work on this sheet and submit this sheet for grading. You must work in groups of not more than two. Submit one sheet for the Group. Anyone submitting the assignment with only one name on it will have their score reduced. Due: 6/12 An in-ground swimming pool is 40 feet long and 20 feet wide. It is 4 feet deep at one end and 8 feet deep at the other. The bottom of the pool slopes down along a curved path (see figure). Because the owners are experiencing difficulties with the long side-walls, the design engineers recalculate the fluid force on the wall. Starting from the shallow end, the engineers measure the horizontal distance x necessary for each one-half foot change in depth y. The results are given in the following table. Use Simpson's Rule to approximate the fluid force against the 40 ft vertical wall. Be sure to include the units in your answer. (Hint: you will need two integrals.)