Concept explainers
(a)
The mass of a column of air.
(a)
Answer to Problem 6A
The mass of a column of air is
Explanation of Solution
Given info:
The cross sectional area of the column of air is
Formula used:
Show the expression for pressure as follows:
Here,
Show the expression for force as follows:
Here,
Calculation:
Consider the average atmospheric pressure at sea level is
Consider the acceleration due to gravity as
Find the mass of a column of air as follows:
Conclusion:
Thus, the mass of a column of air is
(b)
The weight of the air column.
(b)
Answer to Problem 6A
The weight of the air column is
Explanation of Solution
Given:
The cross sectional area of the column of air is
Formula used:
The expression for weight is,
Here,
Calculation:
From part (a), the mass of a column of air is
Consider the acceleration due to gravity as
The weight of the air column is,
Conclusion:
Thus, the weight of the air column is
(c)
The pressure at the bottom of a column of air.
(c)
Answer to Problem 6A
The pressure at the bottom of a column of air is
Explanation of Solution
Given:
The cross sectional area of the column of air is
Formula used:
The expression for pressure is,
Here,
Calculation:
From part (b), the weight of the air column is
The pressure at the bottom of a column of air is,
Conclusion:
Thus, the pressure at the bottom of a column of air is
Chapter 20 Solutions
Conceptual Physics: The High School Physics Program
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