I have a DC motor with a rated rpm of 2750. At max rpm, the rubber wheel that I've attached to it is pulling itself apart (literally, the rubber is being pulled away from the central hub due to the centrifugal force). How can I know before purchasing a new wheel weather it will be able to handle this rpm? Is there a way to estimate this or do I need a spec sheet? I haven't seen any wheels that have a spec sheet.
Since you don't need the wheel to spin that fast, what you could do is use a gear with a very high gear ratio.
You can easily get a gear ratio of 10 for any size of commercially available DC motors, which would reduce the rotational velocity to the wheel to about 300 rpm. Than would reduce the forces by approximately 100 times (centrifugal forces are proportional to $\omega^2$)