http://www.andymark.com/Gearboxes-s/55.htm Start looking at the gear ratios. All of them are freely available.
With the ratio you've expressed, 1:5, you're planning to gear the motor
up. I don't think you want to do that (the FP already spins at 20000 RPM, give or take a few). A 5:1 is what you're more likely to find (same gearing, just down instead of up).
With respect to your initial question, will it work for a shooter, that's something that is way too wide open to make any fruitful comment on, other than that it depends what type of shooter. (I could make a number of assumptions, but I think you know what happens when you assume...)
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Past teams:
2003-2007: FRC0330 BeachBots
2008: FRC1135 Shmoebotics
2012: FRC4046 Schroedinger's Dragons
"Rockets are tricky..."--Elon Musk
