Solving Sound Waves Problem: Distance of Explosion from Ground Vibration

In summary, the conversation discusses the speed of sound and how it can be used to determine the distance of an explosion. The speed of sound along the ground is 6.75 km/s while in air it is 342 m/s. By using the equation d=vt and the given time difference of 74.0 seconds, one can set up a single variable equality to calculate the distance of the explosion.
  • #1
moronto
6
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Homework Statement


The speed of sound along the ground is about 6.75 km/s while the speed of sound in air is 342 m/s. A very powerful explosion occurs some distance away and you feel the ground vibrate 74.0 seconds before you hear the sound of the explosion. How far away is the explosion?


Homework Equations


d = vt


The Attempt at a Solution


Not really sure how to approach this properly. There is a hint that says: "The difference in the travel times is the time given. "
 
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  • #2
You should set up a single variable equality using air time and ground time.
 
  • #3
ah, i got it, thanks
 

1. How do sound waves travel?

Sound waves travel through a medium, such as air, by causing particles in the medium to vibrate and transfer energy from one place to another.

2. What factors affect the distance of ground vibration from an explosion?

The distance of ground vibration from an explosion is affected by the intensity of the explosion, the type of ground it occurs on, and the atmospheric conditions at the time of the explosion.

3. How is the distance of an explosion from ground vibration calculated?

The distance of an explosion from ground vibration can be calculated using the formula d = √(I * R), where d is the distance, I is the intensity of the explosion, and R is the radius of the explosion.

4. How does the frequency of the explosion affect the distance of ground vibration?

The frequency of the explosion has a minimal effect on the distance of ground vibration. The intensity of the explosion is the main factor that determines the distance of ground vibration.

5. Can ground vibrations from an explosion cause damage to buildings or structures?

Yes, ground vibrations from an explosion can cause damage to buildings or structures if the intensity of the explosion is high enough and the structures are not properly designed to withstand such vibrations.

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