A carnival merry-go-round rotates about a vertical axis at a constant rate. A man standing on the edge has a constant speed of 3 m/s and a centripetal acceleration →a of magnitude 2 m/s2. Position vector →r locates him relative to the rotation axis.
What is the magnitude of →r ? What is the direction of →r when →a is directed due east?
4.5 m, west
When →a is due east
→r will be due west as r points to the particle's position W.r.t. centre
As →a always points toward the centre of motion
Please watch the video if you are still doubtful about why a:v2r