A 4-pole, 3-phase, 50 Hz induction motor runs at 1440 rev/min at full load. Calculate (a) the synchronous speed, (b) the slip and (c) the frequency of the rotor induced e.m.f.'s.

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4. A 4-pole, 3-phase, 50 Hz induction motor runs at 1440 rev/min at full load. Calculate (a) the
synchronous speed, (b) the slip and (c) the frequency of the rotor induced e.m.f.'s.
f
(a) Synchronous speed, n¸ ===
P
(b) Slip, s =
i.e.
(c) n
||
f
Р
n, -nf
115
slip, s =
x 100%
25-24
25
50
= 25 rev/s or 25 x 60 1500 rev/min
2
where
|×100%
1440
60
=
n₂
100
25
= 4%
=
24 rev/s
or frequency of the rotor induced e.m.f.'s, f=n× p = (25 – 24)
(9) -
2
= 2 Hz
Transcribed Image Text:4. A 4-pole, 3-phase, 50 Hz induction motor runs at 1440 rev/min at full load. Calculate (a) the synchronous speed, (b) the slip and (c) the frequency of the rotor induced e.m.f.'s. f (a) Synchronous speed, n¸ === P (b) Slip, s = i.e. (c) n || f Р n, -nf 115 slip, s = x 100% 25-24 25 50 = 25 rev/s or 25 x 60 1500 rev/min 2 where |×100% 1440 60 = n₂ 100 25 = 4% = 24 rev/s or frequency of the rotor induced e.m.f.'s, f=n× p = (25 – 24) (9) - 2 = 2 Hz
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