How To Find Depth Given TIME ONLY

  • Thread starter Thread starter misz_sunshine
  • Start date Start date
  • Tags Tags
    Depth Time
Click For Summary

Homework Help Overview

The discussion revolves around determining the depth of a lake based on the time it takes for sound to travel to the bottom and back. The original poster presents a scenario involving the speed of sound in water and the time measurement provided.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the depth using the speed of sound and the time elapsed, while seeking validation of their method. Some participants express uncertainty about the speed of sound value used, questioning its accuracy. Another participant raises a related problem involving echoes and seeks guidance on how to approach it.

Discussion Status

Participants are exploring different interpretations of the problems presented. While some guidance has been offered regarding the echo problem, there is no explicit consensus on the correctness of the initial calculation for the lake's depth. The discussion remains open with further questions being posed.

Contextual Notes

There is uncertainty regarding the speed of sound in water, as it was not explicitly provided in the original question. Additionally, the second problem introduces a new scenario that relies on understanding the concept of echoes, which has led to further questions and clarifications among participants.

misz_sunshine
Messages
12
Reaction score
0

Homework Statement


The time it takes a high frequency sound to travel from the surface of the lake to the bottom of the lake and back to the surface is 0.1seconds. What is the depth of the lake?


Homework Equations


Speed of sound in water= 1500m/s
Time=0.1s
Depth=?


The Attempt at a Solution


Depth= Speed of sound * time elapsed/2= 1500*0.1/2
= 75m
IS THIS CORRECT? PLEASE HELP?
 
Physics news on Phys.org
Looks good to me!
 
Really? I assumed that 1500 m/s was the speed of sound in water. Didn't know if it was correct since it wasn't given to me in the question... Can u help me with another question please?
 
Really? I assumed that 1500 m/s was the speed of sound in water. Didn't know if it was correct since it wasn't given to me in the question... Can u help me with another question please?
 
Oh, I assumed you were given the speed of sound in water at 1500 m/s, but it still looks good, since Wikipedia says the speed of sound in water is 1484 m/s (http://en.wikipedia.org/wiki/Speed_of_sound). What is your other question?
 
phyzguy said:
Oh, I assumed you were given the speed of sound in water at 1500 m/s, but it still looks good, since Wikipedia says the speed of sound in water is 1484 m/s (http://en.wikipedia.org/wiki/Speed_of_sound). What is your other question?

Thanks.
The other question is:
A ship is 220metres from a large cliff when it sounds its foghorn. If the echo time is 0.5s, how far is the ship from the cliff?

I don't understand what to do.
 
It's conceptually the same as the first one. Treat it the same way. What is an echo?
 
phyzguy said:
It's conceptually the same as the first one. Treat it the same way. What is an echo?

An echo is a repeated sound caused by the reflection of sound waves from a surface. I still don't get what to do :(

Should I multiply 220 by the 0.5? :/
 
Last edited:
An echo means the sound went from the ship to the cliff, was reflected from the cliff and traveled back to the ship, where it was heard. Does this help?
 
  • #10
phyzguy said:
An echo means the sound went from the ship to the cliff, was reflected from the cliff and traveled back to the ship, where it was heard. Does this help?

I understand that but I just don't know how to work it out.. would the distance be the same?
 
  • #11
How far does the sound have to go to go from the ship to the cliff and back?
 
  • #12
phyzguy said:
How far does the sound have to go to go from the ship to the cliff and back?

220metres...
 
  • #13
If the ship is 220 meters from the cliff, how far does the sound have to go to go from the ship to the cliff and back?
 
  • #14
440 metres?
 
  • #15
OK, good. Now how fast is the sound traveling (remember it is in air)? And given this, how long will it take?
 
  • #16
1] this was posted elsewhere and,
2] taken as-is, it's a trick question. The answer is provided in the question.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
6
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
12K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 3 ·
Replies
3
Views
1K