What is the smallest number of poles that can be used in two synchronous machines if it is desired to convert from 60 to 50 cycles and at what speed will the set operate?

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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DEGREE: Electrical Engineering 
SUBJECT/COURSE: AC Circuits
TOPIC: Converter and Rectifier
 
NOTE: Please solve in this way. 
1. Please have a good handwriting, some of the answers are not readable. Thank you!
2. GIVEN. (Include symbols and units)
3. REQUIRED/FIND/MISSING (with symbol/s)
4. ILLUSTRATION (Required).
5. Step-by-step SOLUTION with Formulas and Symbols. No Shortcut, No skipping, and detailed as possible
6. FINAL ANSWERS must be rounded up to three decimal places

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What is the smallest number of poles that can be used in two synchronous machines if it is desired to convert from 60 to 50 cycles and at what speed will the set operate?

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