On the planet Arrakis, a male ornithoid sings at a frequency of 1180 Hz. When flying toward her mate at a speed of 30 m/s, a female ornithoid hears the sound at a frequency of 1250 Hz. What is the speed of sound in the atmosphere of Arrakis?

The speed of sound in the atmosphere of Arrakis is 505.7 m/s.

Explanation:

given information:

male frequency, = 1180 Hz

female speed, = 30 m/s

female frequency, = 1250

to calculate the speed of sound in the atmosphere of Arrakis, we can use Doppler effect

where

= the frequency of listener

= the frequency of source

= speed of sound wave

= speed of listener

= speed of source

in this case, the male ornithoid is the source while the female is the listener.

or speed of listener is positive since the listener move toward the source, so

  = 505.7 m/s

1/0.14nm = 10^10/1.4 a lot