if sound takes 4 seconds in air the hear the sound how far is it? if the temperature of water is 25 degrees C and air temperature is 23 degrees C
To determine the distance at which a sound can be heard in air, you need to know the speed of sound in air, which depends on temperature. The speed of sound in dry air at 20 degrees Celsius is approximately 343 meters per second. However, since you mentioned the air temperature is 23 degrees Celsius, we need to adjust for this difference.
The speed of sound in air changes by approximately 0.6 meters per second for every degree Celsius change in temperature. Therefore, for an increase of 3 degrees Celsius (from 20 to 23), we can calculate the adjustment as follows:
3 degrees Celsius * 0.6 meters per second = 1.8 meters per second
So, the adjusted speed of sound in air at 23 degrees Celsius is approximately:
343 meters per second + 1.8 meters per second = 344.8 meters per second.
Now, to find the distance, you multiply the speed of sound by the time it took for the sound to reach your ears. In this case, you mentioned the sound took 4 seconds to be heard. Therefore, the distance can be calculated as:
344.8 meters per second * 4 seconds = 1379.2 meters.
Therefore, the sound is approximately 1379.2 meters or 1.3792 kilometers away.
Regarding the water temperature, it doesn't affect the calculation in this scenario since the sound is traveling through air and not water.