YouTube is great! I spend many hours every day browsing it and enjoying the videos. It contains a number of music videos, so I wondered if there was a way to record the audio of those videos to my hard drive, in MP3 format.

The answer is YES! There is a handy Windows tool called VideoSlurp YouTube Downloader.

VideoSlurp allows to downalod the whole video (in FLV format) to your hard drive, but it also has a function to download only the audio of it and save it to a MP3 file!