Well, $14 is not much to risk.
This one looks like something from old cassette player, or some car-toy.
Also
this looks similar...
Check dimensions (lower at the page):
1X(DC 12V 1-1.2A 15000RPM High Torque Electric Motor for DIY car Toys
Product Name : DC Motor;Rated Voltage : DC 12V;Rated Current : 1-1.2A
Speed : 15000RPM;Shaft Diameter : 2.3mm / 0.91 inch;Shaft Length : 14mm / 0.551""
Body Diameter : 27mm / 1.063"";Total Length : 57mm / 2.244""
Main Color : Silver Tone;Material : Metal
Package : 1 x DC Motor
Mainly used in Electronic lock, Optic equipment .
Replacement spare part and give your electrical and testing equipment a new lease of life.
Easy for installation with the 3mm diameter shaft and 2 pin connector on the bottom.
Note:Light shooting and differnent displays may cause the color of the item in the picture a little different from the real thing.The measurement allowed error is ±1-3 cm.)
I would try Jaycar as well, they sometimes have similar motors.