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25 April, 14:01

A 20-tooth spur pinion has a diametral pitch of 8, runs at 1200 rev/min, and drives a gear at a speed of 400 rev/min. Find the number of teeth on the gear and the theoretical center-to-center distance

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  1. 25 April, 14:10
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    number of teeth = 60 teeth

    center to center distance = 5 in

    Explanation:

    Given data

    diametral pitch p = 8

    no of teeth pinion n = 20

    speed s = 1200 rev / min

    gear speed Sg = 400 rev/min

    to find out

    number of teeth in gear and distance

    solution

    we will find here number of teeth in gear by formula that is

    number of teeth = p*dg ... 1

    dg = s/sg * dp

    and dp = 20/8 = 2.5

    so

    dg = s/sg * dp

    dg = 1200 / 400 * 2.5

    dg = 7.5

    so from equation 1

    number of teeth = p*dg

    number of teeth = 8 * 7.5

    number of teeth = 60 teeth

    and

    center to center distance will be calculate by formula

    center to center distance = (dp + dg) / 2

    center to center distance = (2.5 + 7.5) / 2

    center to center distance = 5 in
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