Question

You have a brass ring of inside diameter 10.00 cm that is at 20.0oC. You want to slip this ring over an aluminum rod that is at 20.0oC and has a diameter of 10.01 cm.
a. To what temperature do you have to heat the ring to slip it over the rod?
b. Once you have the ring over the rod they are allowed to cool back to room temperature (20.0oC). To what temperature must the combination be cooled to separate the two metals?
c. If the diameter of the rod was 10.02 cm would you still be able to get the brass ring off?

I know that the diameter increases in proportion to alpha and delta T. We want the brass diameter to expand 0.01 cm more than the aluminum though I don't know what to do after that. Any help would be much appreciated!