What is the torque exerted on the driven gear?

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Discussion Overview

The discussion revolves around calculating the torque exerted on a driven gear connected to a motor, focusing on the relationship between gear ratios and torque. Participants explore the implications of gear sizes and motor torque in this context.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the problem and questions whether information is missing.
  • Another participant asks about the effect of gear ratio on torque, suggesting it is a key factor in the calculation.
  • A participant clarifies the roles of the gears, identifying the smaller gear as the pinion and the larger as the driven gear, while noting the absence of load information.
  • One participant mentions the formula for torque and seeks guidance on how to determine distance in this context.
  • Another participant asserts that distance is not necessary for the calculation, emphasizing the importance of understanding how gear ratio affects torque.
  • A later reply suggests a method to calculate the force at the teeth and convert it back to torque, indicating a shortcut based on gear ratios derived from diameters.
  • A participant recommends reading an article on gears for additional context and understanding.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to solve the problem, with multiple viewpoints on the necessity of distance and the role of gear ratios in determining torque.

Contextual Notes

There are unresolved assumptions regarding the load on the gears and the specific method for calculating torque based on gear ratios and diameters.

Steve O
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I know this may be a simple problem but I don't understand it. Is there information missing or is it just me. Please help.
We have a motor capable of producing 10 n-m of torque. Attached to the motor is a gear with a PCD of 200 driving a gear with a PCD of 400. What is the torque exerted on the shaft of the driven gear?

PCD gear #1= 200
PCD gear #2= 400
Motor torque = 10 n-m

Please help
 
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What do you know about the effect of gear ratio on torque?
 
So you have motor turning a small gear which turns a larger gear. The small gear is normally called the pinion, the larger gear is the driven gear.

No load is specified but presumably the question wants to know what is the maximum the torque could be produced at the output/driven gear gear.

Ever been on a bicycle?
 
Last edited:
I don't have extensive knowledge about this subject. I do know that Torque = force x distance. I have the torque, but how do I get the distance?
We have a motor capable of producing 10 n-m of torque. Attached to the motor is a gear with a PCD of 200 driving a gear with a PCD of 400. What is the torque exerted on the shaft of the driven gear?

PCD gear #1= 200
PCD gear #2= 400
Motor torque = 10 n-m
 
I have the torque, but how do I get the distance?

PCD = Pitch Circle Diameter
 
You don't need a distance. All you have to know is how gear ratio affects rotational velocity and consequently torque itself.
 
What Steamking said.

You could work out the force at the teeth using T=Force * distance and then convert that back to torque for the other gear... but once you have done that a few times you will see the short cut that allows you to work out the torque directly from the gear ratio (which can be deduced from the ratio of the diameters).
 

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