Find difference in echo times, doppler shift?

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Homework Help Overview

The problem involves a bat using echolocation to track an insect, initially at a distance of 34 cm and then at 44 cm. The focus is on determining the difference in echo times for the two distances using sound waves at a frequency of 41 kHz.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss whether the problem involves the Doppler effect or simply the calculation of echo times based on distance. There is an attempt to apply the equation for total distance and echo time, but uncertainty remains about the correct approach.

Discussion Status

Some participants have provided helpful guidance regarding the speed of sound and suggested calculating the echo times for both distances. There is acknowledgment of previous miscalculations, indicating a process of refinement in understanding.

Contextual Notes

Participants note the need for a specific value for the speed of sound, which is confirmed as 343 m/s. There is also a mention of potential confusion regarding the relevance of the Doppler effect in this context.

Angie_Agnes
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Homework Statement


A bat is pursuing an insect, and using echolocation of 41 kHz sound waves to track the insect. The insect is initially 34 cm from the bat but then moves to a distance of 44 cm as it tries to escape. What is the difference in the two echo times that the bat measures?


Homework Equations


I'm not sure... is this a doppler shift question? the book has a few sentences about bats using reflection time and doppler effect to judge distances of objects.

This is an equation for radar: Ltot=vΔt
λ=v/f

Doppler shift (moving away from observer)
Fobs=(fsource)/{1+(Vsource/Vsound)}


The Attempt at a Solution


I attempted to find time by using the Ltot=vΔt equation. 2(.34)=343t -> t=.0019s
2(.44)=343t -> t=.0026s. Obviously wrong. Don't know where to start. Please help.
 
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I don't think it is a doppler effect question. I think it is just two echo times.
You need a value for the speed of sound
 
the speed of sound is 343m/s
 
Now calculate the time to echo from 34cm, then from 44cm.
The difference??
 
had a miscalculation the first time I did it. Thanks.
 

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