Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Sagot :

MrRoyal

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]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.