158,024 views
18 votes
18 votes
A mosquito's wings create a buzzing noise with a frequency of 1050 Hz. If you hear a mosquito buzzing with a frequency of 1034 Hz, at what velocity is the mosquito travelling with respect to you (in m/s)?

NO LINKS

User Komengem
by
2.1k points

1 Answer

27 votes
27 votes

Answer:

5.26 m/s

Step-by-step explanation:

Given that,

The frequency of mosquito's wings, f = 1050 Hz

The observed frequency = 1034 Hz

We need to find the velocity of the mosquito travelling with respect to you. We have a formula to find it such that,


v=(v)/((f')/(f))-v

Where

v is the speed of sound

So,


v=(340)/((1034)/(1050))-340\\\\v=5.26\ m/s

So, the required velocity is equal to 5.26 m/s/

User Michael Ulmann
by
3.1k points