Designing Spur Gear System for Robot Wheel Base

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Discussion Overview

The discussion revolves around the design of a spur gear system for a robot wheel base, focusing on the relationship between gear teeth, diameter, speed, and torque. Participants explore how these factors influence the performance of the robot's movement.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant inquires about the impact of the number of teeth on the output gear regarding speed and torque, suggesting a need for a ratio to optimize torque while maximizing speed.
  • Another participant states that tooth size is determined by the loading applied and claims that while the number of teeth affects efficiency, it does not influence speed, which is dictated by overall diameter.
  • A different participant explains that the ratio of the diameters and number of teeth of the two mating gears can be compared, indicating that doubling the size of the output gear will halve the speed and double the torque.
  • Several participants reiterate a formula relating diameter, speed, and number of teeth, asserting that the number of teeth on the output gear will affect speed.

Areas of Agreement / Disagreement

There is no consensus on the impact of the number of teeth on speed, as some participants assert it does not affect speed while others claim it does. The discussion remains unresolved regarding the optimal design parameters for the spur gear system.

Contextual Notes

Participants reference a formula relating gear diameter, speed, and number of teeth, but there are unresolved assumptions regarding the definitions of efficiency and loading conditions that may affect the discussion.

travisr34
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I am building a robot for a design class. Part of the design includes a wheel base to drive the robot forward. To accomplish this I was going to attach a spur gear system to a wheel axel and drive the input gear with an electric motor. The gears themselves will be made out of acrylic and cut out via a laser cam so I have a lot of options as far as how I make it. My question relates more to the design of the spur gears. I would like to know if the number of teeth that the output gear has, will in anyway impact on the speed/torque of the axel. Also while I know a greater diameter will allow for greater torque on the output gear it will also require the input gear to have a greater diameter which means more "back torque" on the input gear. Is there a way to figure out the ratio of diameters that will give me the greatest amount of torque? My goal is to get this to go as fast as possible with the given motors that I have.

Thank you for reading
 
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Tooth size is dictated by the loading that will be applied to them, i.e. the torque you have to transmit. The actual number of teeth will impact the efficiency of the gear in one way or another but it will not effect the speed. The speed is dictated by the overall diameter.
 
Welcome to PF, Travis.
Essentially, you just compare the number of teeth, or the diameter, of the two mating gears to find the ratio. If the output gear is twice the size of the input, it will also have twice as many teeth, since they have to be the same pitch. That will reduce the speed in half and double the torque.
'How Stuff Works' has a great section on gears if you want to check it out.
 
travisr34 said:
I am building a robot for a design class. Part of the design includes a wheel base to drive the robot forward. To accomplish this I was going to attach a spur gear system to a wheel axel and drive the input gear with an electric motor. The gears themselves will be made out of acrylic and cut out via a laser cam so I have a lot of options as far as how I make it. My question relates more to the design of the spur gears. I would like to know if the number of teeth that the output gear has, will in anyway impact on the speed/torque of the axel. Also while I know a greater diameter will allow for greater torque on the output gear it will also require the input gear to have a greater diameter which means more "back torque" on the input gear. Is there a way to figure out the ratio of diameters that will give me the greatest amount of torque? My goal is to get this to go as fast as possible with the given motors that I have.

Thank you for reading

this answer regards to the first part of your question.
as per the formula (d1/d2)=(n2/n1)=(t1/t2) where d-dia of gears,n-speed in rpm,t-no of teeth, definitely the no of teeth on output gear will affect the speed.
 
this answer regards to the first part of your question.
as per the formula (d1/d2)=(n2/n1)=(t1/t2) where d-dia of gears,n-speed in rpm,t-no of teeth, definitely the no of teeth on output gear will affect the speed.
 

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