The basic barometer can be used as an altitude measuring

Chapter 1, Problem 110P

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QUESTION:

The basic barometer can be used as an altitude measuring device in airplanes. The ground control reports a barometric reading of \(753 \mathrm{mmHg}\) while the pilot's reading is \(690 \mathrm{mmHg}\). Estimate the altitude of the plane from ground level if the average air density is \(1.20 \mathrm{~kg} / \mathrm{m}^{3}\).

Equation Transcription:

Text Transcription:

753 mmHg

690 mmHg

1.20 kg/m^3

.

Questions & Answers

QUESTION:

The basic barometer can be used as an altitude measuring device in airplanes. The ground control reports a barometric reading of \(753 \mathrm{mmHg}\) while the pilot's reading is \(690 \mathrm{mmHg}\). Estimate the altitude of the plane from ground level if the average air density is \(1.20 \mathrm{~kg} / \mathrm{m}^{3}\).

Equation Transcription:

Text Transcription:

753 mmHg

690 mmHg

1.20 kg/m^3

.

ANSWER:

Step by step solutionDiagramWe need to find out the altitude of the plane from ground levelParameters that known in the problem and assumptions1) The barometric readings of the ground and the airplane2) The air density, the mercury density3) Homogeneous gravitational acceleration4) Assuming there is an air column between the ground and the airplane. Parameter symbol properties Air density Mercury density Gravitational constant Ground barometer\n Aeroplane barometer Table1.1Step 1 of 3Calculate the atmospheric pressure at the location of the plane( )Substituting their values from above table1.1

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