A 4 pole synchronous generator is rotating at a mechanical speed of 1800 RPM. Answer the below questions. (a) 5 pts. What is the rotor speed in radians per second, ωₘ ? (b) 10pts. What is the frequency of the generated voltage, in hertz and radians per second? (c) 10pts. What mechanical speed in RPM that would be necessary to generate a voltage with a 50 Hz frequency?