Awater wheel with radius rw = 1.2 m and mass mw = 1.9 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 fr = 2.6 hz. a. calculate the angular velocity ωw of the water wheel in radians/sec. b. calculate the kinetic energy kw, in j, of the water wheel as it rotates. c. assume that every second, 20% of the kinetic energy of the water wheel is transmitted to the grain mill. calculate the power pw in w of the grain mill based on the energy it receives from the water wheel.