Calculating the Speed of a 3-Phase I.M. at 400 Hz

What is the speed of a 3-phase Induction Motor operating at 400 Hz with a rated speed of 10800 R.P.M. at slip = 0.7?

The correct answer is: a) 3400 R.P.M.

Calculating the Speed of the 3-Phase I.M.:

To determine the speed of the 3-phase induction motor at slip = 0.7, we can use the formula:

Speed = Rated speed - (Slip × Rated speed)

Given:

  • Rated speed = 10800 R.P.M
  • Slip = 0.7

Substituting the values into the formula:

Speed = 10800 R.P.M - (0.7 × 10800 R.P.M)

= 10800 R.P.M - 7560 R.P.M

= 3240 R.P.M

Therefore, the speed of the 3-phase induction motor at slip = 0.7 is equal to 3240 R.P.M.

The closest answer option to the calculated speed is 3400 R.P.M.

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