I've noticed the slip speed is often listed on the dataplate- I.E. 3450 for a 3600, 1725 for 1800 etc.
That's because the "slip" speed is the actual running RPM under a nominal load.
Synchronous speed only applies to to true synchronous motors. Synchronous motors are usually, at least on larger industrial motors, started as induction motors. There are several methods, depending on just how big a motor is involved. When they have reached "slip" speed, the field is excited and they "lock in" to synchronous speed. The ones I worked on were 900 HP and around 12-14 feet in diameter and a couple of feet between bearing caps.
Using synchronous speed for induction motors is a "ranging" number used to determine the number of poles. Just like line voltage that can vary from 208 to 240 volts, depending on, usually, age and wiring of a substation, synchronous speed is determined by the formula "F=PS/120"
minus the slip. As an example, when I speak of an 1800 RPM motor (synchronous speed), it is a four pole motor. The few RPM lost through slip doesn't matter. There are 2, 4, 6, 8, etc pole motors, for each pair of poles there is a speed range connected to it. In the States, frequency is assumed to be 60 Hz. In much of the rest of the world, it is 50 Hz. Beyond motors running slower, 1500 RPM vs 1800 RPM, there are some lesser issues that really don't affect the end result that much.
Where, as stated above, motor windings rate several chapters in the theory books, synchronous motors rate entire books. The simplified version is to use the stated speed from the name plate and round it up to the next even number divisable by 60 (or by 50 for non US motors) to get synchronous speed, from which can be determined the number of poles. The information presented here would take a week in today's technical schools. There I go again, waxing political. I'm outta here. . .
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