Concept explainers
(a)
To Show:The speed of the root beer leaving the spigot is approximately
(a)
Explanation of Solution
Given:
Height of the root beer is
Calculation:
Let us apply the Bernoulli’s equation to the beer at the top of the keg and at the spigot,
Where,
Since,
Conclusion:
Thus, the speed of the root beer leaving the spigot is approximately
(b)
To Show:If
(b)
Explanation of Solution
Given:
Height of keg is
Cross sectional area of keg is
Area of spigot opening is
Calculation:
Let,
Let us relate the speeds
Substituting
Conclusion:
Thus, the speed of the root beer leaving the spigot is approximately
(c)
To Find:
(c)
Answer to Problem 64P
Explanation of Solution
Given:
Calculation:
Consider the equation,
Separating the variables,
Taking the integral from the limits,
Conclusion:
(d)
To Find:The total time needed to drain the keg.
(d)
Answer to Problem 64P
Explanation of Solution
Given:
Formula used:
Consider the time dependent expression for
Solving this expression for the time to drain
Calculation:
Substituting the numerical values in equation
Conclusion:
The total time needed to drain the keg is
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Chapter 13 Solutions
Physics for Scientists and Engineers, Vol. 3
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