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Write observer formula

in this video we're going to talk about the doppler effect the doppler effect is a phenomenon where the frequency that is detected by some observer changes because either the source is moving or the observer is moving so let's say we have a source and this source emits sound waves in all directions and let's say we have an observer if the source moves towards the observer or if the observer moves towards the source of the sound waves the frequency that is detected by the observer that's ethyl that frequency is going to increase which means the frequency measured by the observer will be greater than the frequency of the source so let me give an example of some numbers so let's say you have a source that's moving towards this person the source may have a frequency of 800 hertz but the frequency that the person will hear is going to be higher than 800 it might be 850 hertz and so that's the basic idea behind the doppler effect whenever the source or the observer is moving the detected frequency is going to shift it's going to be different than the original frequency that the source emitted so whenever the source or the observer moves toward each other the observed frequency is going to be bigger than the source frequency now the reverse is true let's say if the source is moving away from the observer or if the observer is moving away from the source then the frequency that the observer detects that's going to decrease which means that it's going to be less than the original frequency emanated or emitted by the source now let's draw a picture so here's the source and we're going to draw some waves around the source okay my drawing's not perfect but we'll make the best of that let's make one more wave so let's say we have a person here we'll say this is john and to the left is karen now the source of the sound wave this could be like an ambush trunk or a police car this is moving towards john and let's say that the frequency emitted by the source is 1000 hertz john let's say john and karen are stationary observers they're not moving so their speed their vo is zero now as the source of the sound moves towards john the frequency that john is gonna hear is going to be higher than a thousand it might be eleven hundred now the source is moving away from karen so the frequency that karen detects is going to be less than a thousand it's going to be like maybe 900 or 800 and let's talk about why as the source moves toward john notice that the distance between the crest of the waves is decreasing so therefore the wavelength is decreasing whenever the wavelength decreases the frequency increases so that's one of the reasons why the frequency increases as the source moves...