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Transmission Ratio



The transmission ratio is the relationship of the amount of gear-teeth, the diameter and the torque from the driven- to the driving wheels. The RPM is exactly the opposite.
The overall transmission ratio is created by multiplying the individual ratios.

Any possible intermediate gears (reverse gear) only change the direction of rotation.


Ratio from the number of teeth

     z2
i =
       z1

z 2 = z1 · i

       z2
z1 =
        i

Check your calculation!     You need help?
Please enter numbers only in two of the three fields!
z1 Numbers of teeth
of the driving wheel
z2 Numbers of teeth
of the driven wheel
i Ratio

Ratio from diameters

       d2
i =
       d1

d2 = d1 · i

         d2
d1 =
        i

Check your calculation!     You need help?
Please enter numbers only in two of the three fields!
d1 Diameter of the
driving wheel		 mm cm dm m
d2 Diameter of the
driven wheel
i Ratio  

Ratio from rotary speeds

       n1
i =
       n2

n1 = n2 · i

         n1
n2 =
         i

Check your calculation!     You need help?
Please enter numbers only in two of the three fields!
n1 Speed of the
driving wheel		 1/min
n2 Speed of the
driven wheel		 1/min
i Ratio

Overall ratio in general

iges = i1 · i2 · i3

         iges
i1 =
        i2 · i3

Overall ratio from the number of teeth, diameters

           z2·z4·z6
iges =
           z1·z3·z5

           d2·d4·d6
iges =
           d 1·d3·d5

Overall ratio from torques

          ME
iges =
          M A

ME = MA · iges

         ME
MA =
          iges

Overall ratio from rotary speeds

          nA
iges =
          n E

nA = nE·iges

           nA
nE =
            iges


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Translator: Don Leslie - Email: lesdon@t-online.de

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