Is this (assuming it works and is turning) a solenoid or a motor?
I would call that a solenoid. It just has a linear to rotary converter on the end, but a solenoid at heart.
This is a picture of what the idle control valve is from an electrical standpoint :
That looks like a step motor symbol to me. A 2 phase stepper to be exact, thats why there are two winding sets with iron bars in the symbol. A step motor is well suited to that kind of positioning job. Kind of like the ones in computer printers.
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