SOLUTION: The distance between the centers of 2 gears is 35 in. The radius of the larger is 2.5 times the smaller. Calculate radii of both. Area of circle; pi * r^2 Let L = larger, S

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Question 1090641: The distance between the centers of 2 gears is 35 in. The radius of the larger is 2.5 times the smaller. Calculate radii of both.
Area of circle; pi * r^2
Let L = larger, S = smaller
L = 2.5S
L + 2.5S = 35
Not sure from here. Non-homework.

Answer by Alan3354(69443) About Me  (Show Source):
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The distance between the centers of 2 gears is 35 in. The radius of the larger is 2.5 times the smaller. Calculate radii of both.
Area of circle; pi * r^2
Let L = larger, S = smaller
L = 2.5S
L + 2.5S = 35
Not sure from here. Non-homework.
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Area is not involved.
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Assuming the gears mesh, and are not in separate places:
r1 + r2 = 35
r1 = 2.5*r2
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Sub for r1 in the 1st eqn:
2.5*r2 + r2 = 35
3.5r2 = 35
r2 = 10"
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r1 = 35 - r2
r1 = 25"