# The module of a gear wheel of circular pitch 6π is

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The module of a gear wheel of circular pitch 6π is

1. $1\over 6$
2. 6
3. π
4. $π\over 6$

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Correct Answer - Option 2 : 6

Concept:

Module is given by:

$m = \frac{D}{T}$  (in mm)

where m= module, D = diameter of Gear, T = Number of teeth.

Circular pitch is given by:

${P_c} = \frac{{π ~ \times ~D}}{T}$

Calculation:

Given:

Pc = 6π

We have ${P_c} = \frac{{π ~ \times ~D}}{T}$ and $m = \frac{D}{T}$

hence,

$m={P_c\over \pi}={6\pi \over \pi}=6~ mm$

Module: It is defined as the ratio of the pitch circle diameter to the number of teeth of a gear.

$m = \frac{D}{T}$  (in mm)

Circular pitch: It is the distance measured on the circumference of the pitch circle from a point of one tooth to the corresponding point on the tooth.

${P_c} = \frac{{π ~ \times ~D}}{T}$

Diametral pitch: It is the ratio of numbers of teeth to the pitch circle diameter.

${P_d} = \frac{T}{D}$