Consider a flat plate moving across the surface of water with a velocity of \(5 \mathrm{~m} / \mathrm{s}\). The dimensions of the plate are \(2 \mathrm{~m} \times 2 \mathrm{~m}\).

a. Calculate the friction factor on the plate.

b. Calculate the friction factor if the plate dimensions are \(4 \mathrm{~m}(\mathrm{~L}) \times 1 \mathrm{~m}(\mathrm{~W})\).

c. Calculate the friction factor if the plate dimensions are \(1 \mathrm{~m}(\mathrm{~L}) \times 4 \mathrm{~m}(\mathrm{~W})\). Which of the three geometric configurations has the lowest drag force?