3 years ago

What is the pitch circle diameter of a 50-tooth spur gear having a circular pitch of 0.375 inch

Engineering

1 answer:

Dmitrij [34]3 years ago

4 0

Answer:

Pitch circle diameter = 5,66 inch

Explanation:

<u>According to the pitch circle diameter formula</u>

<em>Dc= Dp - 2b</em> ; where Dp= primitive diameter, b= dedendum of the tooth and also the dedendum formula is b= 1,25 Pc/π.

The definition of primitive diameter is equal to (Pc*Z)/π ; Pc= circular pitch and Z= number of teeths.

<u>Replacing in the formula </u>

⇒ Dc= (Pc*Z)/π - 2* 1,25 Pc/π, Pc= 0,375 ; Z=50

In conclusion the pitch circle diameter is equal to:

Dc= 5,66 inch.

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