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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 12 / Problem 12.93

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Two very large open tanks A and F (Fig. P12.93) contain

Chapter 12, Problem 12.93

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QUESTION:

Two very large open tanks A and F (Fig. P12.93) contain the same liquid. A horizontal pipe BCD, having a constriction at C and open to the air at D, leads out of the bottom of tank A, and a vertical pipe E opens into the constriction at C and dips into the liquid in tank F. Assume streamline flow and no viscosity. If the cross-sectional area at C is one-half the area at D and if D is a distance below the level of the liquid in A, to what height will liquid rise in pipe E? Express your answer in terms of h1.

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QUESTION:

Two very large open tanks A and F (Fig. P12.93) contain the same liquid. A horizontal pipe BCD, having a constriction at C and open to the air at D, leads out of the bottom of tank A, and a vertical pipe E opens into the constriction at C and dips into the liquid in tank F. Assume streamline flow and no viscosity. If the cross-sectional area at C is one-half the area at D and if D is a distance below the level of the liquid in A, to what height will liquid rise in pipe E? Express your answer in terms of h1.

ANSWER:

Problem 12.93

Two very large open tanks A and F (Fig. P12.93) contains the same liquid. A horizontal pipe BCD, having a constriction at C and open to the air at D, leads out of the bottom of tank A, and a vertical pipe E opens into the constriction at C and dips into the liquid in tank F. Assume streamline flow and no viscosity. If the cross-sectional area at C is one-half the area at D and if D is a distance below the level of the liquid in A, to what height will liquid rise in pipe E? Express your answer in terms of h1.

Step by Step Solution

Step 1 of 3

The continuity equation at point C and D is:

The speed of efflux at the end of constriction D, is

is the height of the liquid at point A:

The cross sectional area at D is twice that at point C, hence the speed of efflux at C is twice of the speed of efflux at D, hence:

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