A spur gearset has a module of 6 mm and a velocity ratio of 4. The pinion has 16 teeth. Find the number of teeth on the driven gear, the pitch diameters, and the theoretical center-to-center distance

The results are listed below:

First, we proceed to find the number of teeth of each gear () based on the fact that gear only fit when they have the same module (). The velocity ratio () is defined by the following relationship:

(1)

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

The driven gear has 64 teeth.

The pitch diameter () is obtained by multiplying the number of teeth () by module (), in milimeters.

Pinion

(2)

(, )

Driven gear

(3)

(, )

The pinion has a diameter of 96 millimeters and the driven gear has a diameter of 384 millimeters.

Lastly, the theoretical center-to-center distance is calculated by the following formula:

 (4)

(, )

The theoretical center-to-center distance is 240 millimeters.

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NG=64 teeth

dG=384mm

dP=96mm

C=240mm

Explanation:

step one:

given data

module m=6mm

velocity ratio VR=4

number of teeth of pinion Np=16

Step two:

Required

1. Number of teeth on the driven gear

The driven gear has 64 teeth

2.  The pitch diameters

The driven gear diameter

The driven gear diameter is 384mm

The pinion diameter

Pinion diameter is 96mm

3. Theoretical center-to-center distance

The theoretical center-to-center distance is 240mm

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