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I am interested in understanding the consequences for carrying extra weight on a climb, specifically how much work it requires to carry an extra two liters of water. For example, if I were to carry water weighing 2 kg up a 15 mile ride climbing 5,000 ft at a pace of 5 mph?

Google says a kWh is equal to 102 kg x meters / seconds. Is it correct then that carrying 2 kilos of water up 1,524 vertical meters in 3 hours (10,800 seconds) equals 28.8 kWh? Seems high that I would have to expend an additional 9.6 watts to maintain the same pace? Am I doing something wrong? Thank you for the help.
 

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You can just work out the gravitational potential energy (work done moving it a given height) as it a) won't change based on velocity and b) assuming constant velocity the kinetic energy will be very small, so it's a reasonable estimate

E=mgh
= 2kg * 9.81ms^-2 * 1524m
G.P.E = 29.9KJ ()

If you wanted to be specific you'd have to add the kinetic energy (work done accelerating it to 5mph), which will be relatively very small...
E = 1/2MV^2
= 0.5*2*(2.24^2)
= 5J
So 29,905J work done, and your power would be 2.76W (29,905/10800)
 

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Nice! I love the question and the analysis especially since it helps to put 'real world questions' into perspective. It makes me wonder whether or not it would be worth the effort to try to lose another 5 pounds before next year's race season. I could just spend a bit more time training to increase my FTP by a few watts....
 

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Two litters of water is a lot. If you need it to finish the ride take it. And let’s say it is 10 watts extra for round numbers.

I am 77 kilos. I have a 4wpk ftp. So if I take a 10 watt penalty it’s a 3% penalty. Not a big deal less than sales tax.

Now let’s say I have a 2.5wpk ftp. That 10 watt penalty is just under 5%. Still not a huge deal.

If you are a smaller rider the penalty is a greater %. And over longer periods of time even 5% adds up to being much slower. But dehydration will make you really slow. From riding road bikes if it’s moderate temperatures you should be drinking one bottle/24 oz and hour to maintain. You lose other stuff also like salt. Another thing is are you starting the ride hydrated or already behind? What you eat plays into it also. So many variables


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If you are carrying the weight on your back there is also the effect of the extra weight pushing down on your butt/ seat interface. I have noticed less chafing and a more comfortable experience on my rear end since i transferred water, tools, tube etc from my back to my bike. Not to mention less back sweat with no pack.
 

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I understand that you were asking about work, but a consequence of carrying 2L of water on your back is that your center of gravity is higher, and that water sloshes around. It can throw off your balance if you're riding aggressively and can make you lose control.
 

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I am interested in understanding the consequences for carrying extra weight on a climb, specifically how much work it requires to carry an extra two liters of water. For example, if I were to carry water weighing 2 kg up a 15 mile ride climbing 5,000 ft at a pace of 5 mph?

Google says a kWh is equal to 102 kg x meters / seconds. Is it correct then that carrying 2 kilos of water up 1,524 vertical meters in 3 hours (10,800 seconds) equals 28.8 kWh? Seems high that I would have to expend an additional 9.6 watts to maintain the same pace? Am I doing something wrong? Thank you for the help.
Try carrying a wiggling 30lb toddler who constantly grabs the handle bars and nearly wrecks you. 2 kilos of water is no big deal.
 

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The results of the calculations makes me wonder if obsessing over a small amount of bike weight reduction is worth the financial cost for most people. Obviously, a heavy bike is harder to control, but it does allow the bike/rider combination to have a lower Cg, although it makes better brakes a requirement if the rider wants to maintain control well.

The comments about water sloshing and possibly upsetting the balance makes me wonder who decided that a tandem MTB would be a good idea.
 

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Now..... how much less energy are you going to have if you don't take the water and dehydrate?

Can someone please calculate energy reduction due to dehydration?

Then you need to minus energy reduction from additional energy used and determine which outcome is best.
 

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Fewer people obsess over bike weight these days than they used to.
I would imagine that advances in drivetrain/ratios have made this kind of a moot point, to some degree and with a moderate investment in different crankset/cassette, the extra weight can be offset but obviously, it's more of a concern for road bike racing. I have watched YT videos showing bikes being assembled from extremely lightweight components and finishing at less than 7Kg, which also makes it as expensive as a car but it's interesting to see how different materials are used to lower the weight and still provide the performance, even if it may not last as long as something heavier.

I had a renter who bought a Roadmaster (WalMart) bike at a yard sale and it needed some work. I found that it was a real tank when I lifted it over something that was in the way. Probably weighs almost as much as my old Trek and Giant bikes.
 

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Now..... how much less energy are you going to have if you don't take the water and dehydrate?

Can someone please calculate energy reduction due to dehydration?

Then you need to minus energy reduction from additional energy used and determine which outcome is best.
From personal experience, I can say that becoming dehydrated sucks and really saps strength & endurance. I found out the hard way hiking into and out of the Grand Canyon- there were times near the ends of the hikes when I had the strength to walk about 10-15 steps before I had to rest. I knew I would need plenty of water, so I carried extra bottles to fill at the watering stations, but that wasn't enough. Fortunately, it wasn't excessively hot. I should have made sure to replenish my electrolytes.
 
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