Question

(a) Given a volume D, a speed v and a mass density ρ, find an expression with the units of power.

(b) Suppose that in the context of crew racing, where large and small boats of the same design carry n rowers, that the sustained speed of a boat depends on its displacement D, the power P provided by the rowers, and the density of water ρ. Suppose that the displacement and the power both increase linearly with the number of rowers, i.e.Dn = nD0 and Pn = nP0. Then if the number of rowers doubles, by what factor does the speed increase?

Answer 1