Wheel gear

A drive wheel of radius 2 is connected to a drive wheel of radius 1 by a pulley of length 17. What is the distance between the wheel axles?

Correct answer:

x =  3.7876

Step-by-step explanation:

$$\begin{gathered} r_1=2 \\ {r}_2=1 \\ r=17 \\ {o}_1=\pi \cdot r_1=3.1416\cdot 2\doteq 6.2832 \\ {o}_2=\pi \cdot r_2=3.1416\cdot 1\doteq 3.1416 \\ r=2\cdot x+o_1+o_2 \\ x=(r-o_1-o_2)\mathrm{/}2=(17-6.2832-3.1416)\mathrm{/}2=3.7876 \end{gathered}$$

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