Question

If a spur gear has module of 4 mm, its circular pitch will be given by
1. 2 mm
2. 3 mm
3. 6.28 mm
4. 12.56 mm

Answer 1

Correct Answer - Option 4 : 12.56 mm

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, \(p_c = π m=\frac{{π D}}{T}\)

where m is the module of gear. (m = D/T)

Calculation:

Given:

m = 4 mm

Now,

p_c = πm

∴ pc = π × 4

∴ pc = 12.56 mm