Induction motor equations question

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The discussion focuses on two equations related to induction motors, specifically comparing rotor speed (wr) and stator speed (ws). The first equation expresses rotor speed as a function of slip, while the second provides an alternative calculation for rotor speed based on synchronous speed. The concept of slip is clarified as the difference between synchronous speed and rotor speed, often expressed as a percentage. Participants seek to understand if both equations yield the same result for rotor speed. The conversation emphasizes the importance of accurately defining terms like slip and synchronous speed in the context of induction motors.
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Homework Statement



I came across these two equations in a chapter on induction motors, and I was wondering if they both calculate the same thing?

##w_r=sw_s##
##w_r=w_s - \frac{p}{2}w##

Homework Equations



The Attempt at a Solution


s is the slip, ##w_r## and ##w_s## are the rotor and stator speed
 
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By stator speed, I assume you mean the synchronous speed of the rotating field. I take slip to be:

s = 1-wr/ws.

and usually X100 for %slip.
 

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