An atmospheric boundary layer is formed when the wind blows over the earth’s surface. Ty...

An atmospheric boundary layer is formed when the wind blows over the earth’s surface. Typically, such velocity profiles can be written as a power law: u = ayⁿ, where the constants a and n depend on the roughness of the terrain. As indicated in Fig. P9.17, typical values are n = 0.40 for urban areas, n = 0.28 for woodland or suburban areas, and n = 0.16 for flat open country. (a) If the velocity is 20 ft/s at the bottom of the sail on your boat (y = 4 ft), what is the velocity at the top of the mast (y = 30 ft)? (b) If the average velocity is 10 mph on the 10th floor of an urban building, what is the average velocity on the 60th floor?