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Today, 04:32

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

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  1. Today, 08:11
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    Pitch circle diameter = 5,66 inch

    Explanation:

    According to the pitch circle diameter formula

    Dc = Dp - 2b; 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.

    Replacing in the formula

    ⇒ 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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