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Calculating Gear ratio!

  1. Feb 11, 2014 #1
    Hey,
    I want to know how to calculate the gear ratio of the given arrangement in the picture. Im not sure of how to calculate the gear ratio of two gears on the same shaft. Also the input gear is helical and the output gear is a spur gear. I have mentioned the number of gear teeth, i hope that is enough. Im very confused. Please help!!!!!
    gearbox1.jpg
     
  2. jcsd
  3. Feb 12, 2014 #2

    Baluncore

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    If I read it correctly, the ratios of gear pairs are;
    driver : driven
    7 : 58 = 0.12069
    19 : 51 = 0.3725
    15 : 54 = 0.2777
    The result is ( 7 * 19 * 15 ) / (58 * 51 * 54 ) = 0.0125
    or 80.066 : 1

    Helical gears behave the same as spur gears. Helical gears are quieter at high speeds so they are used here for the high speed, low torque, input shaft.
     
  4. Feb 12, 2014 #3

    Baluncore

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    Science Advisor

    The diameters in your diagram appear to be tip diameters not pitch circle diameters which explains the slight ratio difference between tooth count and diameters.
     
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