Calculating Gear Ratios - Need Assistance?

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Discussion Overview

The discussion revolves around calculating gear ratios, specifically focusing on determining the final gear drive ratio in a system. Participants are exploring the relationships between different gears and how to compute the overall ratio based on the number of teeth in each gear.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant presents an initial calculation of the final gear drive ratio as 94.97:1 and seeks validation.
  • Another participant asks for clarification on the parameters used in the calculation, specifically the number of teeth, diameters, and radius.
  • A subsequent reply confirms that the numbers referred to are indeed the number of teeth.
  • Another participant suggests that knowing the radii is essential for determining the end torque, indicating a potential gap in the information provided.
  • A detailed breakdown of the gear train is provided, outlining the ratios between each pair of gears, including reductions and constant ratios for gears on the same shaft.
  • A later reply adjusts the initial ratio to 94.62:1, indicating a slight correction and expressing surprise at the assumption of a motor being involved.

Areas of Agreement / Disagreement

The discussion includes multiple viewpoints on the calculation of gear ratios, with some participants providing specific breakdowns while others express uncertainty about the completeness of the information. There is no consensus on the final ratio, as adjustments are made during the conversation.

Contextual Notes

Participants note the importance of additional parameters, such as radii, which may affect the calculations. The discussion does not resolve these dependencies or assumptions.

Who May Find This Useful

Individuals interested in mechanical engineering, gear design, or those studying gear ratios and their applications may find this discussion relevant.

willib
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Hi , is anyone studying gear ratios??
i need some help with calculating the final gear drive..
i've calculated it at 94.97:1
is this correct??
 

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What are these numbers, diameters, radius, number of teeth?
 
they are number of teeth.
 
Do you want to know what's the end torque? Because without radii, I can't tell you.
 
Follow the train through logically. Starting at the motor:
Gear 1 to 2: The speed will step down by a factor of 6/43.

Gear 2 to 3: The speed should stay the same since they are on the same shaft, so it's ratio could be 1/1

Gear 3 to 4: The speed is reduced again by a factor of 12/40.

Gear 4 to 5: Again, they are on the same shaft so the ratio should be 1/1.

Gear 5 to 6: There is another reduction in speed by a factor of 12/39.

Gear 6 to 7: Same shaft, no change, 1/1.

Gear 7 to 8: A final reduction in speed of 12/39.

So where does that leave you?
 
94.62 : 1 thanks fred ..
how did you know it was a motor :wink: :smile:
 

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