Concept explainers
The basic barometer can be used to measure the height of a building. If the barometric readings at the top and at the bottom of a building are 675 and 695 mmHg, respectively, determine the height of the building. Take the densities of air and mercury to be 1.18 kg/m3 and 13.600 kg/m3, respectively.
The height of the building.
Answer to Problem 59P
The height of the building is
Explanation of Solution
Show the free body diagram of the building.
Write the expression of pressure at the top.
Here, the density is
Write the expression of pressure at the top.
Write the expression of an air column between the top and bottom of the mountain and writing a force balance per unit base area.
Conclusion:
Write the unit conversion from mm of Hg to m of Hg.
For
For
Substitute
Substitute
Substitute
Thus, the height of the building is
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