6. Gears: The smaller gear shown below has a radius 4
centimeters, and the larger gear has a diameter of 12.1
centimeters. (8 pts)
a) If the smaller gear has rotated 130˚, how many degrees will the
larger gear rotate? (4 points)
b) What is the angular speed associated with the large gear if it
has rotated for an angle θ totaling 100π in 5 minutes? (2
points)
c) What would be the corresponding distance traveled by the larger
in 5 minutes if θ (total rotation by the large gear) is equal
100π?
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