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Chapter 4: Problem 19

Explain how a barometer can be used to measure altitude.

Short Answer

Expert verified
Answer: A barometer can be used to determine altitude based on the relationship between atmospheric pressure and altitude. As altitude increases, atmospheric pressure decreases. The steps involved in this process are as follows: 1. Understand the pressure-altitude relationship. 2. Obtain the barometer pressure reading at your location. 3. Account for temperature and weather conditions to ensure accuracy. 4. Apply the barometric formula: h = (1 - (P / P0)^(1/5.257)) × 44330 5. Convert the obtained altitude to the desired unit, if necessary.

Step by step solution

01

Understand Pressure-Altitude Relationship

Atmospheric pressure decreases as altitude increases because the weight of the air molecules decreases with increasing altitude, causing the air to become less dense. This relationship can be described using the barometric formula.
02

Obtain the Barometer Reading

In order to measure altitude using a barometer, obtain the barometric pressure reading at your location. Barometers typically provide readings in units like millibars (mb) or kilopascals (kPa).
03

Account for Temperature and Weather Conditions

Since temperature and weather conditions can also affect the barometric pressure, make sure to consider these factors before calculating the altitude. If possible, check the pressure reading at sea level for the current weather conditions to create an accurate reference point.
04

Applying the Barometric Formula

Use the barometric formula to estimate the altitude: h = (1 - (P / P0)^(1/5.257)) × 44330 Here, h is the altitude in meters, P is the pressure reading from the barometer, and P0 is the reference pressure reading at sea level. The constant 5.257 and 44330 are derived from the atmospheric parameters and can be used for calculations assuming a standard atmosphere.
05

Convert the Altitude to the Desired Unit

If necessary, convert the altitude obtained in step 4 to the desired unit. For example, if the result in meters needs to be converted to feet, use the conversion factor 1 meter = 3.28084 feet. By following these steps, you can estimate the altitude at a given location using a barometer.

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