the rate of change of pressure The atmospheric pressure at sea level is approximately 14.7 psi. The pressure changes as altitude increases and can be calculated using the relation P(h)=14.7⋅e^(−0.21h), where P is pressure in psi and h is altitude above sea level in miles. Find an expression for the rate of change of pressure as altitude changes and estimate the rate of change in Denver, CO (h=1 mile).

Lisantiom

Lisantiom

Answered question

2022-09-29

the rate of change of pressure
The atmospheric pressure at sea level is approximately 14.7 psi. The pressure changes as altitude increases and can be calculated using the relation P ( h ) = 14.7 e 0.21 h , where P is pressure in psi and h is altitude above sea level in miles.
Find an expression for the rate of change of pressure as altitude changes and estimate the rate of change in Denver, CO (h=1 mile).

Answer & Explanation

Bleha7s

Bleha7s

Beginner2022-09-30Added 11 answers

Take the derivative of P(h)
P ( h ) = 14.7 × 0.21 e 0.21 h
then substitute h with the h of Denver. You will get your answer. I don’t know if you have ever tried to solve this simple question...

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