Buoyancy: Example Problems

Try to solve these problems before watching the solutions in the screencasts.

Example Problem 1

A baseball that is 3 in in diameter with a weight of 5 oz is hit into McCovey Cove in San Francisco. If the water has a specific weight of 62.4 lb/ft3, what is the fraction of the baseball that is submerged? What is the height of the ball above the surface?

Example Problem 2

What is the maximum fraction of a submarine’s volume that can be steel in order for the submarine to float? The specific gravity of steel is eight times that of water, while the specific gravity of the air is 0.001 times that of water.