Formula for Ft/s to distance?

Hey y’all! Sorry if I’m breaking a rule with this post or something, (First time posting), but my team was wondering if there was a formula for conversion between Ft/s of, say, a four-inch flex wheel, traveling around an axle at X RPM, with a drag coefficient of Cd, contacting an object (triball), that weighs 108-138 grams, how far would said triball travel? To put it more simply, how fast would we have to spin a 4" flex wheel to launch a triball across the field, and is there a formula for that?

Why not just do trial and error? The formula (if there is one, which there probably is) is probably very messy with the drag coefficient and everything, and it wouldn’t be perfectly accurate anyway, so I would think that just testing different speeds would work fine. At least, that’s what my team (and probably many other teams) did last year, and it definitely worked. I hope this helps!

While I do not have a formula I would recommend testing to figure out with different speeds and gear ratios and as a plus, you can put it in your notebook. I recommend a 12:60 or a 12:72 gear ratio on a 600 rpm motor. If you’re using sprockets and chains your best bet would be a 6:30 on a 600 rpm motor.

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