The product of circular pitch and diametral pitch is equal to

Explanation:

Diameter pitch = T/D

Circular pitch \(= \frac{{\pi D}}{T}\)

(D.P) × (C.P) \(= \frac{T}{D} \times \frac{{\pi D}}{T} = \pi\)

Important Points

C ircular 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,

Circular pitch, \(p_c = \frac{{\pi d}}{T}\)

Diametral Pitch: It is the ratio of the number of teeth to the pitch circle diameter in millimetres. It is denoted by pd. Mathematically,

\(p_d = \frac{T}{d}= \frac{\pi}{p_c}\)