The discussion revolves around the concept of velocity ratio in gears and wheels systems, specifically addressing whether the velocity ratio should be inverted when considering the number of teeth on gears. Participants explore the definitions and implications of velocity ratio in relation to mechanical advantage and torque.
Participants do not reach a consensus on the inversion of the velocity ratio in gears, with multiple interpretations and understandings of the definitions and calculations involved remaining in contention.
Limitations in the discussion include potential ambiguities in the definitions of velocity ratio and mechanical advantage, as well as the unclear presentation of information in the referenced book.
It's exactly the same but you need to read the small print about what VR really means. The velocity ratio is the diameter (or number of teeth) of the input wheel divided by the diameter of the output wheel. That follows the definition. You cannot compare it with the way VR is calculated for levers because, with rigid levers it's the angle change that stays the same but, for gears in mesh, it's the tangential distance.Crissy said:
I can't read what the book actually says - it's too blurry with no contrast. But I think, if you read the book carefully (as I cannot) then you should find the distance moved by the Input and output teeth is the same but the input torque is Input Forcein times its radius and the output torque is Forceout times its radius. If you are still confused then, rather than trying to make sense of the book, work it out independently. Unless the book is actually wrong (never impossible to find a typo) your final result will agree with it.Crissy said:
