Concept explainers
(a)
The speed of the water.
(a)
Answer to Problem 67P
Explanation of Solution
Given:
Temperature of water is
Flow rate of water is
Diameter of the tap is 1.20 cm
Formula used:
Let us represent the flow rate of the water as
Now we can relate the flow rate of water to the area of cross section of the circular tap
Area of cross section of circular tap interms of its diameter
Substituting for
Calculation:
Substituting the numerical values in equation
Conclusion:
The speed of the water is
(b)
The diameter of the stream at a point
(b)
Answer to Problem 67P
Explanation of Solution
Given:
Temperature of water is
Flow rate of water is
Stream has circular cross section
Neglect any effects of drag forces acting on the water
Formula used:
Let us apply the continuity equation to the stream of water,
Where,
Interms of diameter, cross sectional areas can be written as,
Substituting these in equation
Now correlate
Calculation:
Substituting the numerical values in equation
Substituting the numerical values in equation
Conclusion:
The diameter of the stream at a point
(c)
The distance does the water have to fall before it becomes to turbulent and to see whether this match our everyday observations.
(c)
Answer to Problem 67P
Explanation of Solution
Given:
Temperature of water is
Flow rate of water is
Reynolds number
Formula used:
Correlating the fall-distance to-turbulence
Express Reynolds number
Where
The volume flow rate equals to
Eliminating
Calculation:
Substituting the numerical values in equation
Substituting the numerical values in equation
This value is in reasonable agreement with everyday life.
Conclusion:
The distance does the water have to fall before it becomes to turbulent is
This value is in reasonable agreement with everyday life.
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Chapter 13 Solutions
Physics for Scientists and Engineers, Vol. 3
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