(a)
The speed of flow of water in the pipe of radius
(a)
Answer to Problem 58P
Explanation of Solution
Given:
Length of conical section of pipe
Radius of cylindrical pipe on the left side of the conical section of pipe
Radius of cylindrical pipe on the right side of the conical section of pipe
Speed of water that flows in to the
Formula used:
FIGURE: 1
In the figure1,
Let
Now applying the continuity equation to the flow of water in the two sections of cylindrical pipes,
Area of cross section of cylindrical pipes is,
Applying this to the equation gives,
Calculation:
Substituting the numerical values in equation
Conclusion:
The speed of flow of water in the pipe of radius
(b)
The speed of flow of water at a position
(b)
Answer to Problem 58P
Explanation of Solution
Given:
Length of conical section of pipe
Radius of cylindrical pipe on the left side of the conical section of pipe
Radius of cylindrical pipe on the right side of the conical section of pipe
Speed of water that flows in to the
Formula used:
Now applying the continuity equation to the flow of water in the conical section of pipe,
The upper half of the conical section of pipe can be redrawn as shown in the figure 2.
FIGURE: 2
Now using the coordinates shown on the line in the figure 2, one can write the expression,
Where,
The expression for variation of cross-sectional area of conical section with
Substituting for
Substituting for
Since area of cross section
Calculation:
Substituting the numerical values in equation
Conclusion:
The speed of flow of water at a position
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Chapter 13 Solutions
PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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