Speed of sound/Dectecting insects

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Homework Help Overview

The discussion revolves around a problem related to the speed of sound and its application in detecting small objects, specifically insects, by bats. The original poster seeks assistance in identifying the appropriate formula to calculate the size of an insect that a bat can detect based on its emitted frequency and the speed of sound in air.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to find the correct equation for calculating the wavelength based on frequency and speed of sound. Some participants question the understanding of the relationship between wavelength and detection size, while others suggest checking unit conversions.

Discussion Status

Participants are actively engaging with the problem, with some providing links to resources and others reflecting on their understanding of the concepts involved. There is a recognition of potential confusion regarding unit conversions, and guidance has been offered to clarify this aspect.

Contextual Notes

The original poster expresses uncertainty about their physics background and seeks help without asking for a direct answer, indicating a desire to learn through the discussion.

FelicitaH
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I've looked throughout my book for the formula, and I've looked online to see if there were similar problems so I could figure out how to do this, but I can't find anything.

**
A bat can detect small objects, such as insects, whose size is approx. equal to one wavelength of the sound the bat makes. If bats emit a chirp at a freq. of 59 kHz, and if the speed of sound in air is 340m/s, what is the smallest insect (mm) a bat can detect?

Maybe it's easier than I think. I'm definitely not a physics person. I'm not asking for the answer, just some help in find the right equation :)

Thanks for any help.
 
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Well. That's simple. I think the whole time I just wasn't reading "approximately equal to one wavelength.."

So, 340 m/s * 1,000 = 340,000 mm/s / 59 kHz = 5,762.

I've got to be doing something wrong/missing a step.
 
Check the units.
 
Duh. Yes. Thank you!

5.763 :)

I feel stupid. Now that seems like a REALLY simple problem.
 

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