The speed of sound in air (in m/s) depends on temperature according to the approximate expression where TC is the Celsius temperature. In dry air the temperature decreases about 1°C for every 150 m rise in altitude. (a) Assuming this change is constant up to an altitude of 9 000 m, how long will it take 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 this to the time interval required if the air were a constant 30°C. Which time interval is longer?

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Chapter1: Units, Trigonometry. And Vectors
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The speed of sound in air (in m/s) depends on temperature according to the approximate expression where TC is the Celsius temperature. In dry air the temperature decreases about 1°C for every 150 m rise in altitude. (a) Assuming this change is constant up to an altitude of 9 000 m, how long will it take 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 this to the time interval required if the air were a constant 30°C. Which time interval is longer?

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Given that speed of sound in air (in m/s) depends on temperature according to the approximate expression where T 0 C is the Celsius temperature. In dry air the temperature decreases about 1°C for every Physics homework question answer, step 1, image 1 rise in altitude.

(a) We have to find that how long will it take the sound from an airplane flying at Physics homework question answer, step 1, image 2 to reach the ground on a day when the ground temperature is Physics homework question answer, step 1, image 3, Assuming this change is constant up to an altitude of Physics homework question answer, step 1, image 4

We know that when we talk about flying at height of 9000 meter, then the speed of sound at that altitude will be as mentioned below.

Physics homework question answer, step 1, image 5

We know that at the ground the speed of sound will be as shown below.

Physics homework question answer, step 1, image 6

Also, here in this question, we have the average speed of sound for a sound wave from plane to ground,

When Physics homework question answer, step 1, image 7, will be as mentioned below.

Physics homework question answer, step 1, image 8


so, finally we can conclude that the final answer will be as mentioned below.

Physics homework question answer, step 1, image 9

 

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