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.
\({P_d} = \frac{T}{D}\)
