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which way does bolting two reduction gearboxes together affect the overall output?

I have an electric motor that spins at 1425rpm. it goes into an 8:1 reduction gearbox to slow it down, and this is then bolted to a 3:1 reduction gear that drives a winch.

my question is - What speed is the winch turning. does it work at an 11:1 reduction (simply add the 8 and 3 together) to give a final speed is 129.5rpm, or is the 8:1 reduced output (178rpm) then reduced (divided) further by 3 giving it a speed of 59rpm?

3 Answers

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  • 8 years ago
    Favorite Answer

    The speed reduction is 1425/8 = 178.25 >> 178.25/3= 59.375

    This is the same as 1425 / (8*3) = 1425 / 24 = 59.375

    The three and eight are not added but multiplied.

  • Rick
    Lv 7
    8 years ago

    The first reduces the speed by a factor of 8 and the second one reduces it by a factor of 3 for a total of 24 times. 1425/24=59.4 rpm.

  • kasab
    Lv 7
    8 years ago

    No, the overall reduction is 24:1

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