Wheels

A small tractor wheel with a diameter of 60 cm must be rotated eight times to overcome some pathways. How many times must you turn the big tractor wheel with a radius of 60 cm to overcome the same distance?

Correct answer:

n =  4

Step-by-step explanation:

$$\begin{gathered} d_1=60\text{cm} \\ {r}_2=60\text{cm} \\ {d}_2=2\cdot r_2=2\cdot 60=120\text{cm} \\ s=8\pi \cdot d_1=8\cdot 3.1416\cdot 60\doteq 1507.9645\text{cm} \\ {o}_2=\pi \cdot d_2=3.1416\cdot 120\doteq 376.9911\text{cm} \\ n=s/o_2=1507.9645/376.9911=4 \end{gathered}$$

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