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Angular Velocity Relationship Calculator






 

 

 

 


How This Is Calculated


$$ \frac{\omega_{driven}}{\omega_{driver}} = \frac{N_{driver}}{N_{driven}} $$ where:

ωdriven   =   Angular velocity of the driven gear   (rad/s)

ωdriver   =   Angular velocity of the driving gear   (rad/s)

Ndriver   =   Number of teeth on the driving gear   (Teeth)

Ndriven   =   Number of teeth on the driven gear   (Teeth)


Assumptions


  • There are no energy losses (the gears are ideal).
  • The gears are rigid and do not deform under load.
  • There is no slippage between the geat teeth.
  • Backlash is negligible.


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