A water wheel with radius R1.9 m and mass M-1.55 x 10 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 f2.3 Hz. Randomized Variables R.,-1.9 m M-1.55 x 10 kg -2.3 Hz Part (a) Calculate the angular velocity of the water wheel in radians/sec. Numeric A numeric value is expected and not an expression. Ow Part (b) Calculate the kinetic energy K. in J, of the water wheel as it rotates. Numeric: A numeric value is expected and not an expression. Part (c) Assume that every second, 20% of the kinetic energy of the water wheel is transmitted to the grain mill. Calculate the power P in W of the grain mill based on the energy it receives from the water wheel. Numeric: A numeric value is expected and not an expression. Pw