So is the noise synchronous with the wheel rotation then? Maybe you could post another vid either with the whell turning much slower than the first vid or with a video that can be slowed down on replay?
Soundtracks lower in pitch when slowed unless software compensates, I don't know of any online video sharing websites which offer that feature. But it's by no means impossible that one does. There's no technical reason why it can't be offered.
You could download the video and slow down playback using VLC? The challenge there is finding a way to download it from Youtube, as those services get regularly blocked to prevent copyright infringement - the Opera browser used to download from Youtube, unsure if it still offers that function.
To maintain pitch when played slow on your computer, you'd need Sound Forge, or an audio editor like it.
(Free) Audacity also does it: