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# The basic barometer can be used to measure the height of a ISBN: 9780071284219 39

## Solution for problem 19P Chapter 3

Fluid Mechanics | 2nd Edition

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Problem 19P

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 730 and 755 mmHg, respectively, determine the height of the building. Assume an average air density of 1.18 kg/m3. Step-by-Step Solution:

Introduction

The barometer is a  scientific  device which is used to find out the pressure at a point.  The barometer   reading   at the top of the building is 730 mmHg and at the  bottom is  755 mmHg. Step 1</p>

The atmospheric pressure at the top

Ptop =(ρgh)

The density of mercury ρ =13600 kg/m3

Ptop =(13600 kg/m3)(9.8m/s2)(0.730m) [ ][ ]

Ptop = =97.294

Step 2</p>

The atmospheric pressure at the bottom

Pbottom =(ρgh)

Ptop =(13600 kg/m3)(9.8m/s2)(0.755m) [ ][ ]

Ptop = =100.626

Step 3 of 4

Step 4 of 4

##### ISBN: 9780071284219

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