Understanding Gear Ratios and Torque in Torsional Problems

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SUMMARY

The discussion focuses on calculating gear ratios and effective inertia in torsional problems, specifically in the context of an exam question. Participants emphasize the importance of understanding the relationship between the number of teeth on gears and their rotational effects. The correct approach involves using the gear ratio to determine effective inertia at point C, followed by calculating torque while considering the constant load. Misinterpretations of gear ratios can lead to incorrect conclusions about torque calculations.

PREREQUISITES
  • Understanding of gear ratios and their calculation
  • Familiarity with effective inertia concepts in mechanical systems
  • Basic knowledge of torque and its relationship to load
  • Ability to interpret and analyze mechanical diagrams
NEXT STEPS
  • Study the principles of gear ratio calculations in mechanical systems
  • Learn about effective inertia and its applications in torsional dynamics
  • Explore torque calculations in systems with constant loads
  • Review past exam problems related to gear systems and torsional mechanics
USEFUL FOR

Mechanical engineering students, exam candidates preparing for torsional dynamics problems, and anyone interested in understanding the mechanics of gear systems.

Alistair McCheyne
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Hi, this is a question from a previous past paper that I am having trouble with. Am I meant to just use the number of teeth from each gear to find a ratio and use this to find the effective inertia at point C. Then use this to find a torque and take away the torque of the constant load.
My exam is tomorrow so any help would be greatly appreciated.

Here is my working
https://scontent-lhr3-1.xx.fbcdn.net/v/t34.0-12/13162482_10156888512910486_1882077086_n.jpg?oh=08e752c6546ce7cb6b8917d83a1d6d77&oe=57313006

Thanks
 
Last edited:
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Your notation is confusing... Ib=Ib+Ia(r^2)?!
More importantly, you are thinking about the ratios wrongly. As gear B turns once, how often does gear A turn?
 

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