John,

Consider the rotation of the wheels of a domestic vacuum cleaner in irregular 
forward then backward motion.

Is the rotation of the wheels periodic motion?
There is no fixed point or fixed time interval.
Rotation is *sometimes* periodic motion, but not always.

"John M. Steele" <[email protected]> wrote:  
>...        
>   *Rotation is certainly periodic motion.              
>   Periodically, the same point on a shaft passes a     
>   fixed point of observation...

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