How much longer will it take for sound in air to travel 10km than in water
distance = rate x time.
d = 10,000 m
t = solve for this in seconds
r = rate. I found one source that listed the speed of sound in air as approx 340 m/s and another that listed speed of sound in water as approx 1500 m/s. (You can go to google and look these numbers up if you want a more accurate answer.)
Plug in distance and rate and solve for time in each case. Subtract to see how much longer.
To determine how much longer it will take for sound in air to travel 10 km compared to water, we need to calculate the speed of sound in both mediums.
The speed of sound in air can be approximated as 343 meters per second at a temperature of 20 degrees Celsius. However, it is important to note that the temperature, humidity, and air pressure can affect the speed of sound, leading to slight variations.
In water, the speed of sound is much faster than in air. On average, sound travels at approximately 1,500 meters per second in water. Again, variations in water temperature, pressure, and salinity can influence the exact speed.
To calculate the time it takes for sound to travel a specific distance, we can use the formula:
Time = Distance / Speed
For sound to travel 10 km in air, we divide the distance (10,000 meters) by the speed of sound (343 meters per second) in air:
Time in air = 10,000 meters / 343 meters per second
For sound to travel 10 km in water, we divide the distance (10,000 meters) by the speed of sound (1,500 meters per second) in water:
Time in water = 10,000 meters / 1,500 meters per second
Now, we can calculate the time difference:
Time difference = Time in water - Time in air
Simply subtracting the time in air from the time in water will give us the time difference.
Keep in mind that this calculation assumes constant speeds of sound in both air and water. Variations in temperature, pressure, and other factors can affect the precise values.