How Long After a Crash Does Sound Reach Different Observers?

In summary, the air temperature is 20 degrees Celsius, and a person swimming underwater hears a boat noise and then a crash 305 seconds later. Given the speed of sound in water is 1450m/s, we can use the equation t = d/v to determine the ratio of the time it takes for the sound to reach the person in the water and the person on the dock.
  • #1
dlre
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Homework Statement



the air temperature is 20 degree celcius. you are swimming underwater when you hear a boat noise. then 305s later, you hear a crash. if the speed of sound in wter is 1450m/s, how long after the crash does your friend on the dock beside oyu hear the crash?

Homework Equations



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The Attempt at a Solution



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  • #2
Do you know the speed of sound in air?
 
  • #3
346m/s?
 
  • #4
Ok so you know the time it takes for the sound to transverse a distance in a certain medium is [tex]t = \frac{d}{{v_{medium} }}[/tex]. You really don't know the "distance" because it's not actually stated in the problem that the crash occurred immediately after the boat sound is heard but you CAN determine the ratio of the time sound waves take to reach each person using the equation.
 

1. What is the speed of sound?

The speed of sound is the rate at which sound waves travel through a medium, such as air or water. In dry air at sea level, the speed of sound is approximately 343 meters per second or 767 miles per hour.

2. How does temperature affect the speed of sound?

Temperature has a direct effect on the speed of sound. As temperature increases, the speed of sound also increases. This is because sound waves travel faster through warmer air, which has molecules that are more widely spaced and can vibrate more quickly.

3. What factors can affect the speed of sound?

In addition to temperature, factors such as altitude, humidity, and the composition of the medium can also affect the speed of sound. For example, sound travels faster in higher altitudes and in denser mediums, such as water.

4. How is the speed of sound measured?

The speed of sound can be measured using various methods, such as the time-of-flight method, where the time it takes for sound to travel a known distance is measured, or the resonance method, where the frequency of a sound wave is measured as it travels through a medium at different speeds.

5. What are some practical applications of understanding the speed of sound?

Understanding the speed of sound is crucial in various fields, such as aviation, meteorology, and underwater acoustics. It is also important for communication systems, as the delay in sound reaching from one point to another can affect the quality of communication. Additionally, knowledge of the speed of sound can help in the design and construction of musical instruments, as well as in developing earthquake detection and monitoring systems.

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