Taking the dencity of water to be 1000 kg/m3 , how much power would be developed by a hydroelectric generator unit, assumuing 100% efficiency , with 1.0m head and 1.0 m3 discharge

Part A U1 = Submit Each blade on a wind turbine is engineered to produce an effective force through its center of mass that is perpendicular to its long axis. (Figure 1) The magnitude of the force produced by each blade in a wind of speed v is F = (40.0 kg/s)v. If the center of mass of each blade is r = 10.2 m, what is U₁, the total work done by the wind turbine's blades, in a wind of speed v = 7.35 m/s after 10 revolutions? Express your answer numerically in joules to three significant figures. ► View Available Hint(s) Part B V ΑΣΦΗ n = Previous Answers Incorrect; Try Again – ΑΣΦ | 1 vec F vec Submit Previous Answers F A brake system is tested by rotating a tire and measuring the number of rotations required for the brake system to bring the tire to a stop. (Figure 2) The tire's radius is R = 50.0 cm and the brake system's radius is r= 19.3 cm. A moment of M = 13.8 Nm is applied to the tire for 5 rotations before the brake system is applied. The brake system is composed of two pads…

A child rides his bike at a speed of 5ft/s. The dimensions of the tire and sprockets are given below. D₁ DIS Diameter of tire, D₁ = 22in Diameter of rear sprocket, Drs = 2.75in Diameter of front sprocket, Dfs = 6.5in Diameter of crank, Dc = 10in V a. How fast is the rear wheel spinning in rad/s? b. How fast is the crank spinning in rad/s? X Bogo Note: This isn't an image I generated, and you may find that velocity vector near the bottom misleading. I wouldn't have drawn it Dimensions: c. How fast are his feet moving in ft/s relative to the bike frame? Dfs De BY NO SA 2020 Joe Graber

Shouldn't we divide by the radius instead of the diameter to determine the angular velocity?