When you swing a bucket of water up and down in a vertical circle you can keep the water in the bucket if you keep the velocity high enough. If you...

When you swing a bucket of water up and down in a vertical circle you can keep the water in the bucket if you keep the velocity high enough. If you let the bucket slow down you get wet. The critical velocity is the slowest velocity necessary to keep the water in the bucket and not on you. What is the critical velocity for you if the formula is velocity = √(rg) where the radius of your arm swing including the bucket is r and g is the acceleration of gravity? Hint: You must measure or estimate the length from your shoulder to the center of the bucket for the radius.