Hi!
i got a color wheel from a projector (see pictures), and I am wondering if it would be possible to control it with an arduino. I also have a motor shield, similar to the one from adafruit but chinese (link)
Anybody has experience or advice on this?

The wheel motor looks like a bipolar stepper and should be easy to control. There might also be a limit or "home" switch.
Measure the resistances between all the motor leads and post the results.
It appears to be a 3 phase unipolar motor, with 3 x 2.9 Ohm windings. "4" is the common lead.
Not a common find, but not hard to drive, either.

See Jones on Stepping Motor Types
A driver could be 3 logic level MOSFETs, arranged with one (as shown below) per winding:
Thank you very much for all the information. I have no experience with motors, so I will have to read first a bit more before any attempt.
I will also ask the people from Adafruit if there is a way to drive this with their shield, that will be easier for me than working with mosfets, which I never did.