How Does Sound Speed Affect Pressure Amplitude in Ultrasound?

AI Thread Summary
The discussion centers on calculating the ratio of pressure amplitudes between incident and reflected ultrasound waves at a boundary where the second medium has a 50% higher sound speed than the first, despite both having the same density. Participants express confusion regarding the variables 'c' and 'v' in the pressure equation p = βcv, questioning if they both represent speed or if 'v' signifies something else. There is uncertainty about whether the correct interpretation leads to p = βc² or if a different formula applies. The mention of Fresnel equations suggests a potential avenue for solving the problem, but clarity on the variables is needed. Overall, the thread highlights a need for further explanation on the relationships between sound speed, pressure, and density in ultrasound physics.
Emir Kano
Messages
4
Reaction score
0

Homework Statement



Consider an ultrasound beam incident normal to a boundary between two media with the same density, but
where the speed of sound in the second medium is 50 percent larger than that in the first. Calculate the ratio
between the pressure amplitudes of the incident and reflected waves.

Homework Equations



Wave velocity c (ms-1) = wavelength λ (m) x frequency f (Hz)

p = βcv
p = presuure
β = density
c= speed
v= ? (speed as well ?

The Attempt at a Solution



Im confused as to what the c and v are in this case.

I have tried searching and some places are saying its speed squared.

Or have I got the wrong formula and its some derivation.

But I am lost. Is there enough info to answer the question ?
 
Physics news on Phys.org
anyone ?
 
no one lol ?
 
Fresnel equations?
 
ideasrule said:
Fresnel equations?

I think Its not that its to do with the p = βcv

But I don't know what the 'c' and 'v' are. In this case do they both stand for speed. In which case the formula becomes p=βc^2. Or is it something completley different.
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »

Similar threads

Sound Wave Interference and Finding the Path Differences with Diagrams
Replies
20
Views
5K
Calculate the diameter of a baby's head using ultrasound speed
Replies
6
Views
6K
Reflection and Transmission of acoustic waves at a boundary
Replies
5
Views
3K
What is the wavelength of a sound wave?
Replies
4
Views
2K
Why the speed of sound does not depend upon Pressure?
Replies
6
Views
32K
What Determines the Speed of Sound in an Organ Pipe?
Replies
31
Views
3K
Pressure variation with sound waves equation
Replies
7
Views
3K
What is the speed of sound in a rigid body?
Replies
23
Views
6K
What is the Power of Sound Waves in a Tube Filled with Helium Gas?
Replies
5
Views
2K
Finding the amplitude of a pressure wave
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top