# Gear

Two gears, fit into each other, has transfer 2:3. Centres of gears are spaced 82 cm. What are the radii of the gears?

Result

r1 =  49.2 cm
r2 =  32.8 cm

#### Solution:

$r_1 = \dfrac{ 82 }{ ( \dfrac{ 2}{ 3} +1 ) } = 49.2 \ \text{ cm }$
$r_2 = \dfrac{ 2}{ 3} r_1 = 32.8 \ \text{ cm }$

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