A 60-Hz 3-phase induction motor is required to drive a load at approximately 850 rpm. How many poles should the motor have

Answer:

8 poles

Explanation:

Given

[tex]Frequency, f = 60Hz[/tex]

[tex]Speed, n_s = 850rpm[/tex]

Required

Calculate the number of poles the motor should have?

To solve this question, we make use of synchronous angular velocity  formula

[tex]n_s = \frac{120f}{P}[/tex]

Where

[tex]P = Number\ of\ Poles[/tex]

Substitute values for [tex]n_s[/tex] and f in [tex]n_s = \frac{120f}{P}[/tex]

[tex]850 = \frac{120 * 60}{P}[/tex]

[tex]850 = \frac{7200}{P}[/tex]

Multiply both sides by P

[tex]P * 850 = \frac{7200}{P} * P[/tex]

[tex]P * 850 = 7200[/tex]

Divide both sides by 850

[tex]\frac{P * 850}{850} = \frac{7200}{850}[/tex]

[tex]P = \frac{7200}{850}[/tex]

[tex]P = 8.47058823529[/tex]

However, the number of poles must be an integer.

So:

[tex]P = 8[/tex]

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