1. A 500-V, 50-Hz, 3-phase induction motor develops 14.92 kW inclusive of mechanical losses when running at 995 r.p.m., the power factor being 0.87. Calculate (a) the slip (b) the rotor Cu losses (c) total input if the stator losses are 1,500 W (d) line current (e) number of cycles per minute of the (a) 0 005 (6) 75 W (e) 165 k W () 22 A (e) 151 (City & Guilds London) rotor e mf

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1. A 500-V, 50-Hz, 3-phase induction motor develops 14.92 kW inclusive of mechanical losses when
running at 995 r.p.m., the power factor being 0.87. Calculate (a) the slip (b) the rotor Cu losses
(c) total input if the stator losses are 1,500 W (d) line current (e) number of cycles per minute of the
[(a) 0.005 (b) 75 W (c) 16.5 kW (d) 22 A (e) 15] (City & Guilds, London)
rotor e.m.f.
2. The power input to a 3-phase induction motor is 40 kW. The stator losses total 1 kW and the friction
and winding losses total 2 kW. If the slip of the motor is 4%, find (a) the mechanical power output
(b) the rotor Cu loss per phase and (c) the efficiency.
[(a) 37.74 kW (b) 0.42 kW (c) 89.4%]
3. The rotor e.m.f. of a 3-phase, 440-V, 4-pole, 50-Hz induction motor makes 84 complete cycles per
minute when the shaft torque is 203.5 newton-metres. Calculate the h.p. of the motor.
[41.6 h.p. (31.03 kW)] (City & Guilds, London)
Transcribed Image Text:1. A 500-V, 50-Hz, 3-phase induction motor develops 14.92 kW inclusive of mechanical losses when running at 995 r.p.m., the power factor being 0.87. Calculate (a) the slip (b) the rotor Cu losses (c) total input if the stator losses are 1,500 W (d) line current (e) number of cycles per minute of the [(a) 0.005 (b) 75 W (c) 16.5 kW (d) 22 A (e) 15] (City & Guilds, London) rotor e.m.f. 2. The power input to a 3-phase induction motor is 40 kW. The stator losses total 1 kW and the friction and winding losses total 2 kW. If the slip of the motor is 4%, find (a) the mechanical power output (b) the rotor Cu loss per phase and (c) the efficiency. [(a) 37.74 kW (b) 0.42 kW (c) 89.4%] 3. The rotor e.m.f. of a 3-phase, 440-V, 4-pole, 50-Hz induction motor makes 84 complete cycles per minute when the shaft torque is 203.5 newton-metres. Calculate the h.p. of the motor. [41.6 h.p. (31.03 kW)] (City & Guilds, London)
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