A partially full can of soft drink is placed at the outer edge of a child's merry-go-round, located R = 1.5 m from the axis of rotation. The can diameter and height are D = 65 mm and H = 120 mm. The can is half-full of soda, with specific gravity SG = 1.06. Assume rigid body motion.
A. Find the slope of the liquid surface in the can if the merry-go-round spins at 0.3 revolution per second.
B. Find the spin rate at which the can would spill, assuming no slippage between the can bottom and the merry-go-round.