Here,
Cosφ = 0.397
P = 30 kW = √3*V_L*I_L*cosφ
V_L*I_L = 30kW/(√3*0.397) = 43628.48 VA
Readings of wattmeter W1 = V_L*I_L*cos(30+φ)
Readings of wattmeter W2 = V_L*I_L*cos(30-φ)
Related Question
Slip, s = (Ns - Nr)/Ns
Ns = 120f/P
0.05 = (1000 - Nr)/1000
Nr = 950 rpm
Speed of rotor with respect to stator magnetic field = 950 - 1000 = -50 rpm
Speed of the stator magnetic field with respect to stator core = 0
Speed of the rotor magnetic field with respect to rotor = sNs
Speed of the stator magnetic field with respect to rotor magnetic field = 0
Speed of the rotor magnetic field with respect to stator core = Ns
Speed of EM wave in medium = C/√(εr*μr)
= (300000000)/√9
= 300000000/3
= 100000000
= 1*10⁸ m/s