Question

The unit measure for atmospheric pressure is kPa (Kilo-Pascals). At sea level the standard
atmospheric pressure is 101.3 kPa. For every 1000 feet increase in altitude, atmospheric
pressure decreases by 1.8 kPa. What is the atmospheric pressure at 50,000 feet?

Answer 1

The pressure change is an illustration of an arithmetic progression.

The atmospheric pressure at 50000 feet is 11.3 kPa

The given parameters are:

$\mathbf{a = 101.3}$ --- the first term

$\mathbf{d = -1.8 per 1000}$ -- common difference

At 50000 feet, the number of increment in altitude is

$\mathbf{n = \frac{50000}{1000}}$

$\mathbf{n = 50}$

So, the atmospheric pressure at 50000 feet is:

$\mathbf{T_{50} = 101.3 - 1.8 \times 50}$

$\mathbf{T_{50} = 101.3 - 90}$

$\mathbf{T_{50} = 11.3}$

Hence, the atmospheric pressure at 50000 feet is 11.3 kPa

Read more about arithmetic progressions at:

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