Dan may be right about the 20 amp circuit. The motor should run at no load on a standard circuit but might draw too much under load. Your motor plate will tell you. 3 other things to consider. Are the mounting plates the same? Does the new motor spin in the same direction? And, are the rpms the same (close i.e.)?
Most motors will run better on 220 v than 110. If you can run it this way I recommend it. The motor connection cover plate will show you how it is done. You can still use the same switch. Only one wire on 220 needs to be switched. The other can remain live all the time.
Every motor is different for connections. Some can be reversed, some can be wired for single or dual voltage. Step motors can be wired for different rpms. If you don't know how, you need to find someone that can.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.