Calculate the maximum feet-per-minute for a robot that uses 8” drive wheels attached to a direct drive gearbox with a maximum output speed of 400 RPM.
can anyone walk me through how to do this, im so confused on what maximum feet-per-minute is
this is for robotics engineering
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feet per minute is a speed rating where a foot is 12 inches or 30.48 cm and is the basic unit in the ft - lb - sec system still often used in the US rather than the m - kg - sec system of SI.
The circumference of the 8 inch wheel is the diameter times pi.
(8 in / 12 (in/ft))π = 2.094 feet
making this wheel turn at 400 revolutions per minute where a point on the outer rim of the wheel travels 2.094 feet for each revolution gives a velocity of
400 rev/min (2.094 ft/rev) = 837.76 ft / min