The tank springs leaks at points A, B, and C. The holes have the same radius. Th

Question

The tank springs leaks at points A, B, and C. The holes have the same radius. The velocity of the water is greater at point
A. A B. B C. C A large vertical cylindrical tank of water about 75 meters tall is used by the US Navy to train submariners in techniques used to safely escape sunken submarines in shallow waters. The tanks are used for physiological experiments also. (See picture below Until very recently all submariners had to undergo a yearly physical test to show that they could escape from a depth of several hundred feet of water (without the use of any artificial breathing apparatus). The sailors enter an air lock and wait while the air pressure is increased until it equals the water pressure at the bottom of the tank. The bottom four feet of the air lock is filled with water. The door to the tank in then opened and the sailors take a final breath (of the high pressure air), swim out the door, and rise slowly to the surface. The trip to the surface takes several minutes. (During this time the swimmer exhales continuously.) The density of the water is 1000 kg/m3. One meter equals 3.28 feet.

Explanation / Answer

If h is the height of hole from the top of water level (top of container), then the velocity just outside the hole is given by

V = sqrt (2gh) where g = 9.8 m/s2

So now, if we assume the point A is at height 10 m from top, then velocity from A is

V = sqrt (2*9.8*10) = 14 m/s

For B, let's take h as 30 m, then

V = sqrt (2*9.8*30) = 24.25 m/s

As we have observed, more the height from the top level of water, higher is the velocity. It means that we should get highest velocity at point C.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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