Solving for Vv= The doppler Effect

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Homework Help Overview

The discussion revolves around a problem related to the Doppler effect, specifically focusing on solving for the variable Vw using a given formula. Participants are attempting to manipulate the equation to isolate Vw but are encountering difficulties in their calculations.

Discussion Character

  • Mathematical reasoning

Approaches and Questions Raised

  • Participants are exploring algebraic manipulations to isolate Vw, with some expressing confusion over the cancellation of terms and the correct application of algebraic rules. There are attempts to clarify steps in the manipulation of the formula.

Discussion Status

There is ongoing dialogue with participants providing guidance on how to rearrange the equation. Some are questioning the correctness of previous steps and suggesting alternative approaches to isolate Vw. Multiple interpretations of the algebraic steps are being explored without a clear consensus on the correct method.

Contextual Notes

Participants are working with a specific formula related to the Doppler effect and are required to solve for Vw, indicating constraints based on the problem's requirements. There is mention of an attached formula that is not visible in the discussion.

XxphysicsxX
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The problem:
I have to answer a question about the Doppler effect using the formula attached.
I know i have to solve for Vw, but I get
Vw/Vw=(Fd/Fs)(-Fs)

and I am possitive that's not right, can someone please help me out??
Thankyou
 

Attachments

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Transfer the denominator in the right hand side to the left hand side. Simplify and collect the terms containing fw.
 
i get:

Fd (Vw- Vs) = VwFs
Fd( Vw-Vs) - Vw= Fs

but the two Vw just cancel each other out again..
I don't know what I am doing wrong...
 
XxphysicsxX said:
i get:

Fd (Vw- Vs) = VwFs
Fd( Vw-Vs) - Vw= Fs
but the two Vw just cancel each other out again..
I don't know what I am doing wrong...

The second step is wrong.

Fd(Vw - Vs) = VwFs

FdVw - FdVs = VwFs
In the multiplication you cannot transfer a single term to the other side.
Now collect the terms containing vw on one side and find its expression.
 
XxphysicsxX said:
The problem:
I have to answer a question about the Doppler effect using the formula attached.
I know i have to solve for Vw, but I get
Vw/Vw=(Fd/Fs)(-Fs)

and I am positive that's not right, can someone please help me out??
Thankyou

Given Fd = [Vw/(Vw-Vs)]Fs then
(Vw-Vs)/Vw = Fs/Fd

Simplify the lefthand term to get Vw by itself and continue.
 

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