A person yells across a canyon and hears an echo 2.5 seconds later. The air temperature is 21°C. How far away is the canyon wall?
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Ответ:
The canyon wall is 850 m away from the person
Explanation:
Well, the speed of sound in air at is defined as , this can be calculated by the following equation:
(1)
Where:
is the Heat capacity ratio for air
is the Universal Gas constant
is the temperature in Kelvin
is the air molar mass
(2)
Now that we know the speed of sound, we can use the following equation to find the distance between the person and the canyon wall:
(3)
Where:
is the distance between the person and the canyon wall
is the time it takes to the sound wave to travel from the person and then go back
Isolating :
(4)
(5)
Finally:
Ответ: