If you want to do a test, you can do it, just measure temperature vs time after a motor shutdown. Plot it on a log(Temp) vs linear (time) scale and the slope should be:
-1/tau
I had posted some shutdown temperature patterns for motors at our plant a few years ago... might be of use as "typical" values. Unfortunately the search feature at this site does not allow you to combine different criteria such as posts by a specific user containing a specific keyword (pick one or the other... keyword or user). I have too many posts to look through them all.
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