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A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor is operating at a slip of 0.02. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to
  • a)
    1500
  • b)
    1470
  • c)
    157
  • d)
    154
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor is opera...
3 - Ø     S.C.I.M
4 - P      s = 0.02
400V      Ør ⇒ Nr
flux speed is same as stator flux speed.
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Most Upvoted Answer
A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor is opera...
Given data:
- 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor
- Slip (s) = 0.02

To find: Speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer

Formula:
The speed of the rotor flux in mechanical rad/sec is given by the formula:

ωm = (1 - s) * 2π * f / P

where,
ωm = speed of rotor flux in mechanical rad/sec
s = slip
f = frequency of the power supply
P = number of poles

Calculation:
- Number of poles (P) = 4
- Frequency (f) = 50 Hz
- Slip (s) = 0.02

ωm = (1 - s) * 2π * f / P
= (1 - 0.02) * 2π * 50 / 4
= 0.98 * 3.14 * 50 / 4
= 38.57 rad/sec

Therefore, the speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to 157 (option C).

Note: It is important to convert the units of frequency to Hz and to use the correct formula to calculate the rotor speed in mechanical rad/sec.
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Community Answer
A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor is opera...
154 rad/sec
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