However: I have just realized that the classic children's song "Animal Fair" is, similarly, written in the lyrical meter of a limerick.
It's entirely too brain-bendy of a thing for this early in the morning to be singing physics limericks to the tune of a song I got taught in elementary school.
Incidentally, there seem to be a near-infinite number of versions of this song floating around. The one I got taught had the (second/last) verse run: "The monkey he got drunk / And sat on the elephant's trunk. / The elephant sneezed / And fell on his knees / And that was the end of the monk, the monk, the monk." A far sight bawdier than the monkey's harmless antics that most versions of the song seem to have.