Need help with all of the parts!

(l5%) Problem 3: A water wheel with radius R\". = L9 m and mass MW = HIS x 103 kg is used to power a grain mill next to a river. Treat the water wheel as a hollow cylinder. The rushing water of the river rotates the wheel with a constant frequency = 1.6 Hz. Randomized Variables Rw= Him MW=Ll15x 103 kg f,.=i.6Hz a. 33% Part (a) Calculate the angular velocity ww of the water wheel in radians/sec. g 33% Part (b) Calculate the kinetic energy KW, in J , of the water Wheel as it rotates. in 33% Part (c) Assume that every second, 20% of the kinetic energy of the water wheel 1s transmitted to the grain mill. Calculate the power PW 1n W of the grain mill based on the energy it ireceives from the water wheel