Compound Gear Train Calculations

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    Gear Train
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Discussion Overview

The discussion revolves around calculating the gear ratios and sizes in a compound gear train connected to an electric motor. Participants explore the relationship between the gears and the torque output, while also addressing measurement challenges due to physical constraints in accessing the gears.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant describes the gear train configuration, noting that gear (A) spins 1200 times for gear (D) to spin once, with compound gears (B) and (C) in between.
  • Another participant asks for more information about the sizes of gears (B) and (C) to assist in calculations.
  • A participant calculates the gear ratio as 1200 to 1 and discusses the method of measuring gears, questioning whether to measure from tooth tips or other points.
  • There is a suggestion that torque multiplied by RPM remains constant, implying that the torque output from gear (D) could be estimated based on the gear ratio, assuming no friction losses.
  • Participants express uncertainty about the accuracy of the gear ratio calculation and measurement methods, with one emphasizing that counting teeth may yield more accurate results than measuring diameters.

Areas of Agreement / Disagreement

Participants generally agree on the calculated gear ratio of 1200 to 1, but there is no consensus on the best method for measuring gears or the exact torque output from gear (D). Uncertainty remains regarding the sizes of gears (B) and (C) and their impact on calculations.

Contextual Notes

Participants note limitations in measuring gear sizes due to physical constraints and the potential impact of friction losses on torque calculations. There is also ambiguity regarding the measurement points on the gears.

pest2u
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Hi I hope someone can help.

I am working on a gear train with an electric motor which was burnt out and I'm trying to find the ratio and gear size without haveing to use a cutting torch to cut it up to get it out where I can work on it to measure the gear size. the gear on the motor (a) spins 1200 times to get the last gear in the train (d) to spin 1 time in between between (a) and (d) there are 2 compound gears (B) and (C) I can't get a measuring tape in the space to measure (B) and (C) but they seem to be the same size both the big gear and small gear on both


(A) is 5'' from tooth tip to tooth tip
(D) is smaller then (B & C) by a good bit and is probably 18''
the small gears on (B & C) look a little bit bigger then the gear on (A) but not buy much

How much torque comes out of (D)?
is there a mathematical formula for figureing the probible size of of ( B & C )?

thanks if you can help if not ill just have to cut it out Monday and measure before putting it back together

side note we tried to turn (D) to get (A) to spin and it wouldn't budge even after we disconnected the load on (D)
it is a small suger cain mill here in Louisiana
the use of this machine is to move old cain husks after there processed and they want it to move faster
 
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Do you have any more info? Like maybe a maximum size of the big part of B and C?

I think if they were like 42" big part and 6" small part if the others were 5" and 18" you'd have like 1,235 to 1...

And do B and C look like the same size I guess?
 
It's 1200 to 1. Had a fun time figureing that out
at what point do you measure a gear to tooth tips or mid point between the tooth tip and where it starts or from the base of the tooth?
 
pest2u said:
How much torque comes out of (D)?

I think you can say torque x rpm is a constant. so if the gearing results in a speed (rpm) reduction of 1200, then the torque is multiplied by 1200 (neglecting friction losses in the gear train)

It's 1200 to 1. Had a fun time figureing that out
at what point do you measure a gear to tooth tips or mid point between the tooth tip and where it starts or from the base of the tooth?

You figured that 1200 out by counting teeth, right? That would be more accurate than by measuring gear diameter or circumference.
 

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