Large 2

The large wheel has 72 teeth, the smaller wheel has 56 teeth, and the small wheel has 27 teeth. How many revolutions will the smallest wheel make when the largest wheel turns 120 times?

Correct answer:

n₃ =  320

Step-by-step explanation:

$$\begin{gathered} n_1=120 \\ {z}_1=72 \\ {z}_2=56 \\ {z}_3=27 \\ {v}_1=v_2 \\ {n}_2\cdot z_2=n_1\cdot z_1 \\ {n}_3\cdot z_3=n_2\cdot z_2 \\ {n}_2=\frac{z_1}{z_2}\cdot n_1=\frac{72}{56}\cdot 120=\frac{72\cdot 120}{56}=\frac{8640}{56}=\frac{1080}{7}=154\frac{2}{7}\doteq 154.2857 \\ {n}_3=\frac{z_2}{z_3}\cdot n_2=\frac{56}{27}\cdot 154.2857=320 \end{gathered}$$

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