Discussion
For a given pair of mating gear, arc of contact is 6mm and a circular pitch is 4 mm. Contact ratio is equal to
Answer: B
The contact ratio is 1.50.
The contact ratio is the average number of tooth pairs in contact, and is found by dividing the arc of contact by the circular pitch:
\[ \begin{aligned} \text{Contact ratio} &= \frac{\text{arc of contact}}{\text{circular pitch}} \\ &= \frac{6}{4} = 1.5 \end{aligned} \]
A value of 1.5 means one pair of teeth is always in mesh and a second pair for half the time, which gives smooth, continuous drive; a contact ratio below 1 would mean moments with no teeth in contact. 3.20, 4.75 and 6.32 do not come from these two figures.
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