Ideal Mechanical Advantage of this bicycle?

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Homework Help Overview

The discussion revolves around calculating the ideal mechanical advantage (IMA) of a bicycle, focusing on the relationship between the diameters of the bicycle wheel and the gear driven by a chain. Participants are exploring the definitions and applications of mechanical advantage in this context.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to identify which diameter corresponds to the effort distance and which to the resistance distance in the IMA formula. There is confusion regarding the distinction between forces and distances in the context of mechanical advantage.

Discussion Status

The discussion is ongoing, with some participants providing guidance on interpreting the problem and clarifying the definitions involved. There is no explicit consensus yet, as participants are still exploring the correct application of the concepts.

Contextual Notes

There is a mention of a potential misunderstanding regarding the terms used in the mechanical advantage equation, with participants needing to clarify the distinction between forces and distances. The context of the bicycle's mechanics is also being considered, including the classification of the system as a lever.

Rionic
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A bicycle wheel has a diameter of 73cm and is driven by a chain on a gear of 8.5cm diameter

What is the ideal mechanical advantage?

I know that IMA=de/dr
But I'm not sure which one is de and which one is dr.
 
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billy_joule said:
I'm not sure where you got that equation from but the normal form is:

MA = Force in / Force out

https://en.wikipedia.org/wiki/Mechanical_advantage

Can you find the MA now? If not, can you identify the force in and force out?
Force input= 8.5 and force output=73?
 
Those are distances, in cm, not forces.
But your idea is right and will give the right answer.
One way is to consider it as a 3rd class lever, the axle is the fulcrum, the effort is applied via the chain and the load is at the tyre contact point.
 

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