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Gear Ratio Math for Cim Motor FP801-005
Please post if this math is correct and if it isn't please post what is incorrect. Any and all help is appreciated.
First Robotics Cim Motor (FP801-005) Gear Ratio Formulas: C = 2 x 3.1415 x R In/min = RPM x C MPH = In/min x (1 ft / 12 in) x (1 mi / 5280 ft) x (60 min / hr) The Gear Ratio = MPH / New MPH The Gear Ratio = Driven Gear / Driving Gear Given: Total Amps = 120 amps (Can't go over) Cim Motor FP801-005= 40 amps (Amount Mr. Clark gave us to use) RPM of Cim Motor FP801-005 = 1600 RPM (Looking under 40 amps) Diameter of Wheel = 8 in Radius of Wheel = 4 in Goal MPH = 7 mph Circumference: C = 2 x 3.1415 x R C = 2 x 3.1415 x 4 in C = 25.1327 in Curent In/min: In/min = RPM x C In/min = 1600 RPM x 25.1327 in In/min = 40212.32 in/min Current MPH: MPH = In/min x (1 ft / 12 in) x (1 mi / 5280 ft) x (60 min / hr) MPH = 40212.32 in/min x (1 ft / 12 in) x (1 mi / 5280 ft) x (60 min / hr) MPH = 38.07984848 mph ( The goal was 7 mph so we need a gear ratio) Gear Ratio: Gear Ratio = MPH / New MPH Gear Ratio = 38.07984848 mph / 7 mph Gear Ratio = 5.439978354 (This can round down to 5 if that is easier because its mph will be 7.6 (in our goal range)) |
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