A traveling wave on an infinite string, find the intensity

In summary, The answer is about 40 Watts. The formula provided is incorrect and the correct formula is <Pot> = Z*(ωA)²/2. The unit of power is Watts, not Hz. The equation for finding the speed is v = √T/ρ = λ*f.
  • #1
LCSphysicist
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Homework Statement
I will post below.
Relevant Equations
.
1598913360062.png

The answer is about 40 Watts, but i am really not getting it:
<Pot> = 0.5((pλ)(ωA)²)v

p density linar
λ wavelength
ω angular frequency
A amplitude
v phase speed

Why is this wrong?

(I already tried too by <Pot> = Z*(ωA)²/2)

Z is impedance
 

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  • #2
LCSphysicist said:
The answer is about 40 Hz
Hz is not a unit of power. Did you mean Watts?
 
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  • #3
berkeman said:
Hz is not a unit of power. Did you mean Watts?
Opsss, yes >.< i wrote wrong
 
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  • #4
The Relevant Equations: has an error.
It shows '1 lb = 354 gm-wt', it should be 454 gm-wt.
 
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  • #5
LCSphysicist said:
i am really not getting it:
Where is your working? How did you find the wavelength?
We cannot say what is wrong without seeing what you did.
 
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  • #6
haruspex said:
Where is your working? How did you find the wavelength?
We cannot say what is wrong without seeing what you did.
v = √T/ρ = λ*f is what i am using to find the speed
 

1. What is a traveling wave on an infinite string?

A traveling wave on an infinite string refers to a type of wave that propagates through a medium, in this case, an infinite string. This type of wave carries energy and momentum as it travels through the string.

2. How is intensity measured in a traveling wave on an infinite string?

Intensity in a traveling wave on an infinite string is typically measured in terms of power per unit area, or watts per square meter. This measurement takes into account both the amplitude and frequency of the wave.

3. What factors affect the intensity of a traveling wave on an infinite string?

The intensity of a traveling wave on an infinite string is affected by several factors, including the amplitude of the wave, the frequency of the wave, and the properties of the medium through which the wave is traveling.

4. How can the intensity of a traveling wave on an infinite string be calculated?

The intensity of a traveling wave on an infinite string can be calculated using the formula I = P/A, where I is the intensity, P is the power of the wave, and A is the area over which the wave is spreading. This formula assumes a uniform distribution of energy over the area.

5. What are some real-world applications of studying traveling waves on infinite strings?

Studying traveling waves on infinite strings has many practical applications, such as understanding and improving musical instruments, analyzing seismic waves for earthquake prediction, and developing communication technologies such as fiber optics. It also has applications in fields such as acoustics, optics, and engineering.

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