Gear Ratio in Bicycles using Rotational Motion

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SUMMARY

The discussion centers on the mechanics of bicycle gear ratios and their impact on speed through rotational motion. Participants clarify that changing gears alters the angular velocity of the rear wheel, which in turn affects the bike's speed. The conversation emphasizes the role of torque and friction in this process, explaining that while changing gears does not directly increase speed, it optimizes the rider's ability to apply force to the pedals, thereby enhancing acceleration. Key concepts include the relationship between angular velocity, linear velocity, and the effects of friction on motion.

PREREQUISITES
  • Understanding of rotational motion and angular velocity
  • Familiarity with torque and its application in mechanical systems
  • Knowledge of friction types, particularly static and kinetic friction
  • Basic principles of gear mechanics and their function in bicycles
NEXT STEPS
  • Study the physics of rotational motion in detail
  • Learn about the mechanics of torque and its effects on acceleration
  • Explore the principles of static and kinetic friction in various contexts
  • Research gear ratios and their applications in different types of bicycles
USEFUL FOR

This discussion is beneficial for mechanical engineers, bicycle enthusiasts, and anyone interested in understanding the physics behind bicycle performance and gear mechanics.

  • #61
andyrk said:
Why should two gears connected by the same chain rotate with the same torque?
As Russ said, the torques are not the same. You would already know this if had followed my suggestion in post #58 and drawn the free body diagrams that I indicated. This is a very straightforward system to analyze if you use the free body diagrams. Show us what you can do. On the other hand, if you feel that you have advanced beyond the point where you need to use free body diagrams, I think you will now agree that you haven't.

Chet
 
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  • #62
Chestermiller said:
As Russ said, the torques are not the same. You would already know this if had followed my suggestion in post #58 and drawn the free body diagrams that I indicated. This is a very straightforward system to analyze if you use the free body diagrams. Show us what you can do. On the other hand, if you feel that you have advanced beyond the point where you need to use free body diagrams, I think you will now agree that you haven't.

Chet
No I can understand it by drawing the FBD. But I am studying this just for fun and I am lazy, so I don't want to bother with FBD and instead understand it just by discussion. But if that won't make me understand this completely, then I would have no other option than to draw the FBD. But I am just waiting till then.
 
  • #63
andyrk said:
No I can understand it by drawing the FBD. But I am studying this just for fun and I am lazy, so I don't want to bother with FBD and instead understand it just by discussion. But if that won't make me understand this completely, then I would have no other option than to draw the FBD. But I am just waiting till then.
You've already waited too long. Your admitted laziness has cost those of us who are trying to help you lots of our valuable time. Doesn't that matter to you?

Chet
 
  • #64
Semi-rhetorical question: it matters to us.

We've been humoring you based on the possibility that you might be young or slow, but lazy is something we can't abide.

This thread has gone around in circles long enough and is therefore locked. Tomorrow, when you have another question on the subject, reread the thread; I suspect you will find that it has already been answered.
 

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