Ship designers usually construct scale models before

Chapter , Problem 11.1.51

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Ship designers usually construct scale models before building a real ship. The formula that relates the speed to the hull length of a ship is = , where is a positive constant. This constant varies depending on the ships design, but scale models of a real ship have the same as the real ship after which they are modeled.9 (a) How fast should a scale model with hull length 4 meters travel to simulate a real ship with hull length 225 meters traveling 9 meters/sec? (b) A new ship is to be built whose speed is to be 10% greater than the speed of an existing ship with the same design. What is the relationship between the hull lengths of the new ship and the existing ship?

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