The power P required to turn a ship will depend on its velocity V , its length L, its width B, the water density ρ and viscosity µ, the rate of turning ω, and the acceleration due to gravity g. (a) Express the non-dimensional power in terms of its dependence on the other non-dimensional groups. Show all your working. (b) It is proposed to test a model ship at 1/100th scale. What scaled velocity, kinematic viscosity, and turning rate would be required for the test to be dynamically similar? Do you foresee any possible difficulties in performing this test?

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