Previous Problem Problem List Next Problem (1 point) A rectangular tank that is

Question

Previous Problem Problem List Next Problem (1 point) A rectangular tank that is 3 feet long, 8 feet wide and 9 feet deep is filled with a heavy liquid that weighs 70 pounds per cubic foot. In each part below, assume that the tank is initially full. Your answers must include the correct units. (You may enter lbf or lb ft for ft-lb.) (a) How much work is done pumping all of the liquid out over the top of the tank? (b) How much work is done pumping all of the liquid out of a spout 3 feet above the top of the tank? (c) How much work is done pumping two-thirds of the liquid out over the top of the tank? (d) How much work is done pumping two-thirds of the liquid out of a spout 3 feet above the top of the tank?

Explanation / Answer

Solution:

The problem is linear in all respects.

This permits shortcuts for estimation after the Calculus is complete.

3*8*9 = 216, 70*216 = 15,120 lbm total mass.

Linearity permits assignment of a Center of Gravity at

height 1.5ft.

(A) 1.5*15,120 = 22,680 ft lbs

(B) 4.5*15,120 = 68,040

(C) New CG is 2ft (1/2 of upper 2/3)

New volume is 2/3*15,120

Work is 2/3*15,120

= 10,080

(D) 4*2/3*15,120 ft lb

= 40,320

This is for checking purposes and theory

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.