What is the distance traveled in 22 s as a given sound moves through seawater at 25 C?
From http://en.wikipedia.org/wiki/Speed_of_sound
Sound travels at 1550.744 m/s at T=25°.C and salinity 35 parts per thousand at a depth of 1000 m.
On that basis, you only have to multiply the speed by the time to get the answer.
The same article gives an empirical equation that links all three variables to the speed of sound, in case the conditions change.
To calculate the distance traveled by sound through seawater at a given temperature, we need to use the formula for the speed of sound. The formula for the speed of sound in seawater is:
c = 1449.2 + 4.6T
Where:
c: Speed of sound in seawater (in meters per second)
T: Temperature in degrees Celsius (in this case, T = 25°C)
Once we have the speed of sound, we can calculate the distance traveled using the formula for distance:
distance = speed × time
Given that the time is 22 seconds, we can use these formulas to find the distance traveled.
Let's start by calculating the speed of sound (c):
c = 1449.2 + 4.6T
Substituting T = 25°C:
c = 1449.2 + 4.6 × 25
c = 1449.2 + 115
c = 1564.2 m/s
Now, we can calculate the distance traveled using the speed of sound and time:
distance = speed × time
distance = 1564.2 × 22
distance ≈ 34,411.6 meters
Therefore, the distance traveled by sound through seawater at 25°C in 22 seconds is approximately 34,411.6 meters.