Select Page

You tie a cord to a pail of water and you swing the pail in a vertical circle of radius $$0.6m$$. What minimum speed must you give the pail at the highest point of the circle if no water is to spill from it?

SET UP: The water moves in a vertical circle. The target variable is the speed v.

Calculate: We calculate $$a$$ and then get v from $$a=\frac{v^2}{R}$$. We write

the force equation as $$mg=m\frac{v^2}{R}$$
Therefore, $$v=\sqrt{gR}=\sqrt{(9.80)(0.600)}=2.42m/s$$