Diameter 16803

The large wheel of the tractor has a diameter of 1.20 m. The small wheel has a radius of 35 cm. How many turns will a small bike make on a 5 km long track?

Correct answer:

n =  3221

Step-by-step explanation:

$$\begin{gathered} D=1.2\text{m} \\ d=35\text{cm}\to \text{m}=35:100\text{m}=0.35\text{m} \\ {o}_1=\pi \cdot D=3.1416\cdot 1.2\doteq 3.7699\text{m} \\ {o}_2=\pi \cdot d=3.1416\cdot 0.35\doteq 1.0996\text{m} \\ s=5\text{km}\to \text{m}=5\cdot 1000\text{m}=5000\text{m} \\ {n}_1=s/o_1=5000/3.7699\doteq 1326.2912 \\ {n}_2=s/o_2=5000/1.0996\doteq 4547.2841 \\ n=n_2-n_1=4547.2841-1326.2912=3221 \end{gathered}$$

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