If the bat emits a sound at a frequency of 80.0 kHz and hears it reflected at a frequency of 83.3 kHz while traveling at a speed of 3.9 m/s , calculate the speed of the insect.

So using the doppler effect I got that
1.04=(344+3.9)/(344-vbug) This is because 83.3/80=1.04 and the frequency incr therefore lambda decr.

I am getting vbug=9.89m/s but apparently it is only 2.0m/s?

Where am I going wrong?

Thank you!

1 answer

the first thing: what is the direction the bug is flying in relation to the bat? Same direction, opposite direction, or some other direction? You used the speed of sound at 20C, that is pretty cool for bugs flying.
Otherwise, your calculations are OK if they are both approaching each other.