How Does Motion Affect Sound Frequency and Wavelength Calculation?

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Homework Help Overview

The discussion revolves around calculating sound frequency and wavelength in the context of motion, specifically involving ultrasound in the human body and the Doppler effect related to a moving fire engine and observer. The subject area includes wave properties and sound propagation in different media.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between frequency, wavelength, and speed of sound, referencing the formula v = f*λ. There is an inquiry into the correct application of the Doppler effect for the second scenario, with some questioning the conversion of units and the setup of the problem.

Discussion Status

The conversation is ongoing, with participants attempting to clarify the calculations needed for both problems. Some have offered guidance on the relevant formulas, while others express uncertainty about their approaches and conversions.

Contextual Notes

Participants note challenges with unit conversions and the interpretation of the problems, indicating a need for further clarification on the concepts involved.

Ronaldo21
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Fundamental frequency!

1. Ultrasound with a frequency of 4.079 MHz can be used to produce images of the human
body.If the speed of sound in the body is the same (1.97 km/s) as in salt water, what is the
wavelength in the body?
Answer in units of m.

and

2. On a day when the wind is blowing 49.5 km/h from east to west, a fire engine
moves toward you from the west at 112 km/h and you are heading toward the fire engine at
94.6 km/h. If the fire engine has a 587 Hz siren and the speed of sound is 340 m/s, what frequency do you hear?
Answer in units of Hz.
i converted them to m/s. (340-12-30.2777)*1170/(340-12-30.27777) but i think i did it wrong. idk. grr
and i DO NOT know how to do number 1
please help!
 
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The relationship between frequency and wavelength for any wave is
v = f*λ
That should take care of the first question.

What is your formula for the Dopplar effect in #2? The pattern of those numbers doesn't look quite right.
 


for number 1, we're trying to find distance arent we? not velocity.
and for 2, well i converted km/h to m/s.
 


for number 1, we're trying to find distance arent we? not velocity.
Yes, so solve the formula for λ.
 

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