1. A \( 500-\mathrm{V}, 50-\mathrm{Hz}, 3 \)-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 rotor e.m.f.
\( [(a) 0.005(b) 75 \mathrm{~W}(c) 16.5 \mathrm{~kW}(d) 22 \mathrm{~A}( \) e \( ) 15] \) (City \& Guilds, London)