The speed of the synchronous motor is given as Ns = 120f/P Therefore by changing the number of poles and frequency, we can change the speed of the synchronous motor.
The phase angle θ of a series RL circuit is given as θ = tan−1(XL ⁄ R) Where XL = Inductive Reactance = 37.53 R = Resistance = 65 θ = tan−1(37.53 ⁄ 65) θ = tan−1(0.57) θ = 30°