A spur gear has pitch circle diameter D and number of teeth T. The circular pitch of the gear is

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PY 4: GATE ME 2019 Official Paper: Shift 2

Option 1 : \(\frac{{\pi D}}{T}\)

SSC JE ME Full Test 4

5500

200 Questions
200 Marks
120 Mins

**Explanation:**

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)