Being this large, and the fact that you are going to deliver water with a pipe, am I correct to assume it is an overshot wheel?
Here is what I would do: go out with a 5-gallon
bucket and estimate how much volume each of the wheels buckets will hold at the point where the pipe will fill them. A full revolution would use 72 times that volume. So if you know how much water goes into each revolution, then by multiplying by the revolutions per minutes, you can get a number of gallons per minute. The ideal wheel speed it sounds like
should be 93% of the inlet water speed -
https://www.backwoodshome.com/design-calculations-for-overshot-waterwheels/
So you would need to figure out the speed of the water jet, and use that along with the circumference of your wheel to get the ideal RPM.
Once you have the GPM to drive your wheel, then you can look for info on pipe-flow, like this:
https://hy-techroofdrains.com/water-flow-through-a-pipe/
Bear in mind that if you have a long pipe, you will introduce more and more friction, so those numbers above will probably only be true for very short (like 10s of feet), and could be considerably less if you have to run 100s of feet. My advice would be to err on the side of making your pipe too big. You can always block off the intake a little to get the right flow.
I hope this gets you going in the right direction to get this thing spinning again; and I would love to see a picture of the setup!