Question

For a spur gear with diametrical pitch = 0.25 and number of teeth = 40, the pitch circle diameter (PCD) will
be:
Answer
B.120 mm
D.180 mm
A.100 mm
C.160 mm​

Answer 1

Answer:

C

Explanation:

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Answer 2

Given:

The diametrical pitch = 0.25

The number of teeth = 40

To Find:

The pitch circle diameter of the spur gear

Solution:

Diametral Pitch = Number of teeth on the wheel/Diameter of the pitch circle

Here, the number of teeth on the wheel is the count of teeth on the wheel.  And the diameter of the pitch circle is the diameter of the circle on which the hinge centers of the chain lie, when the chain is wrapped around a sprocket. It is measured in meters.

or Pd = T/PCD

or PCD = T / Pd

Substituting the values,

PCD = 40 / 0.25

= 40 X 100 / 25

= 40 X 4

= 160mm

Hence, the pitch circle diameter will be C. 160mm.