A 17-tooth spur pinion has a diametral pitch of 8 teeth/in, runs at 1120 rev/min, and drives a gear at a speed of 544 rev/min. Find the number of teeth on the gear and the theoretical centerto- center distance.

The driven gear has 35 teeth and the theoretical center-to-center distance is 3.25 inches.

First, we calculate the number of teeth on the driven gear by definition of speed ratio:

(1)

Where:

If we know that , and , then the number of teeth of the driven gear is:

Now we find the diameters of both gears:

Small gear () - Diameter of the small gear)

Driven gear ( - Diameter of the driven gear)

Lastly, the theoretical center-to-center distance (), is modelled after this formula:

(2)

If we know that and , then the theoretical center-to-center distance is:

The driven gear has 35 teeth and the theoretical center-to-center distance is 3.25 inches.

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-35 teeth

-3.25in

Explanation:

Given the spur pinion teeth, and a diametral pitch, . Also given  that the pinion runs at 1120r/min spinning a gear at 540r/min, we can Find   the   number   of   teeth   on   the   gear  as:

Hence the number of teeth in the gear is 35 teeth

# The theoretical  center to- center distance is calculated as:

The theoretical center to- center distance is 3.25 in

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