A weatherman carried an aneroid barometer from the groundfloor to his office atop a tower. On the ground level, the barometer read 30.150 in Hg absolute; topside it read 28.607 in hg absolute. Assume that the average atmospheric air density was 0.075lb/ft3, estimate the height of the building.

melodykap

melodykap

Answered question

2020-10-18

A weatherman carried an aneroid barometer from the groundfloor to his office atop a tower. On the ground level, the barometer read 30.150 in Hg absolute; topside it read 28.607 in hg absolute. Assume that the average atmospheric air density was 0.075lb/ft3, estimate the height of the building.

Answer & Explanation

Pohanginah

Pohanginah

Skilled2020-10-19Added 96 answers

Let us consider the intial pressure at ground level is P1
Let us consider the intial pressure at the top of the tower is P2
Difference between the pressures at two places can be given P1P2ρhg
Therefore the height of the toweris given by
h=P1P2ρg
Where ρ is the average atmospheric air density.
g is the accelaration due to gravity.
Substitute the above values in the formula to get the height of the tower.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-09-28Added 2605 answers

First I solve for the change in pressure

30.15-28.607 = 1.543inHg

Then converted it to lbft2=109.165

Pressure= density x gravity x height

109.165lbft2=0.075h

109.1650.075=h

H= 1455ft

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