The speed of sound in air (in meters per second) depends on temperature according to the approximate expression                                             υ = 331.5 + 0.607TC where TC is the Celsius temperature. In dry air, the temperature decreases about 1°C for every 150-m rise in altitude. (a) Assume this change is constant up to an altitude of 9 000 m. What time interval is required for the sound from an airplane flying at 9 000 m to reach the ground on a day when the ground temperature is 30°C? (b) What If? Compare your answer with the time interval required if the air were uniformly at 30°C. Which time interval is longer?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter13: Mechanical Waves
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The speed of sound in air (in meters per second) depends on temperature according to the approximate expression

                                            υ = 331.5 + 0.607TC

where TC is the Celsius temperature. In dry air, the temperature decreases about 1°C for every 150-m rise in altitude. (a) Assume this change is constant up to an altitude of 9 000 m. What time interval is required for the sound from an airplane flying at 9 000 m to reach the ground on a day when the ground temperature is 30°C? (b) What If? Compare your answer with the time interval required if the air were uniformly at 30°C. Which time interval is longer?

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