Question

4. Ignoring fluid drag, the natural rolling period T of a ship depends on the mass-moment of inertia I (units ML), the mass of the ship m, the height h of the metacenter from the center of gravity, and gravity g. a) Determine the non-dimensional group for this situation. b) We test a 1/100 scale model in water, and the rolling period is 2 seconds. Determine the expected rolling period of the full-size ship with 1010 times the scale model and mass-106 times the scale model. Assume the metacenter height scales directly with ship size.

Answer 1

as CA

4 lo - 1o

4 4-L 나1 レσ BG