Correct Answer - Option 1 : 7 cm
Concept:
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 next tooth. It is usually denoted by pc. Mathematically,
If the circular diameter is D, and No. of teeth is T
Circular pitch, \(p_c = \pi m=\frac{{\pi D}}{T}\)
where m is the module of gear. (m = D/T)
Calculation:
Given:
D = 49 cm, T = 22
\(p_c = \pi m=\frac{{\pi D}}{T} =\frac{\pi \times 49}{22} =7\)
In this question pitch circle diameter should be given, instead of base circle diameter. There is no information regarding pressure angle. Hence we can solve this question using, Base circle diameter = Pitch circle diameter
