"Spinning Wheel" is the title of a song from 1968 by the band Blood, Sweat & Tears. The song was written by the band's Canadian lead vocalist David Clayton-Thomas and appears on their eponymous album.

Based on this passage, blood sweat and tears who wrote spinning wheel? Let's give stream of consciousness first:
To answer this question, we should know that: The song was written by the band's Canadian lead vocalist David Clayton-Thomas and appears on their eponymous album.
So, the final answer is David Clayton - Thomas.