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martonhorvath's latest activity
martonhorvath
replied to the thread
Optimizing energy expenditure over a race course in cycling
.
Calculating the resulting velocity...
Feb 24, 2024
martonhorvath
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haruspex's post
in the thread
Optimizing energy expenditure over a race course in cycling
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Do you see how I derived it? You want to minimise the total time, so write an expression for that and differentiate wrt k.
Feb 24, 2024
martonhorvath
replied to the thread
Optimizing energy expenditure over a race course in cycling
.
Thank you for the formula, I have also thought that using only ##v_{wind}×sin(\beta)## is an oversimplification. Yes I take ##\beta=0##...
Feb 24, 2024
martonhorvath
reacted to
haruspex's post
in the thread
Optimizing energy expenditure over a race course in cycling
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Actually, I misdescribed your error. The relative velocity has head-on component ##v+v_w\sin(\beta)##, and a lateral velocity...
Feb 24, 2024
martonhorvath
replied to the thread
Optimizing energy expenditure over a race course in cycling
.
The result is wrong in a way that the speed value I got is clearly too low.
Feb 24, 2024
martonhorvath
replied to the thread
Optimizing energy expenditure over a race course in cycling
.
Correct, beta is the wind angle, but I don't see why it is not written for the opposing component, for the first assumption, the one I...
Feb 24, 2024
martonhorvath
posted the thread
Optimizing energy expenditure over a race course in cycling
in
Introductory Physics Homework Help
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$$W = W_{gravity} + W_{friction} + W_{air}$$ Dividing by s: $$F_{total} = mg(sin(\alpha)+\mu...
Feb 24, 2024
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