The discussion revolves around two cyclists ascending the same hill while using different gear ratios, specifically one cyclist using a gear that is twice as difficult as the other. The main focus is on understanding the differences in work and power output between the two cyclists under the condition that they reach the top simultaneously.
The conversation is ongoing, with participants providing insights into the relationship between gear difficulty, force exerted, and the constraints of simultaneous ascent. Some guidance has been offered regarding the physics of work and power, but multiple interpretations of the cyclists' performance are still being explored.
Participants note the constraint that both cyclists must reach the top of the hill at the same time, which influences their analysis of work and power output. There is also mention of potential differences in the cyclists' physical conditioning and how that may affect their performance.
40nni said:Homework Statement
If 2 bicyclists are cycling to the top of the same hill, and one bicyclist is using a gear that is twice as difficult as the other, is there a difference in work and power output between the 2 cyclists?
LowlyPion said:Which of bicyclists would you bet on?
40nni said:I forgot an important constraint to my question - that both cyclists reach the top simultaneously.
Given that constraint, I'd guess both exert the same power (both output the same work over the same time).
Where I get hung up though, is that the cyclist who is mashing the pedals would be exerting more force over the same distance compared to the cyclist who is spinning faster. I suppose the force by the spinner is greater than I perceive given the greater number of repetitions.
Anecdotally, mashing on a high geared singlespeed is tougher, but I suppose it's all how you train you legs.