Question

An rectangular tank 5 m long, 2 m wide, and 8 m high is filled to a depth of 5 m of water. Set up the integral that would compute the work needed to pump the water out of a spout located at the top of the tank. Use the location of the origin and the direction of the positive axis as specified in the different parts. Note: Do not input values for the constant p9

(A) The origin is at the top of the tank with with positive y-values going down pg dy
(B) The origin is at the bottom of the tank with positive y-values going up. pg dy
(C) The origin is at the water level of the tank with positive y-values going down. dy

Answer 1

A) 300 P9

B) 275 P9

C) 225 P9

Step-by-step explanation:

Given data:

Rectangular tank : 5m long , 2m long and 8 m high

filled to a depth of 5 meters

attached below is a detailed solution of the problems

A ) The work-done to move M through depth y to top

W = 300 P9

B) work-done in moving the mass from a height y above origin

W = 275 p9

C) work-done = 225 p9