Leo Lichtman said:
"Ben C" wrote: If the contraption was ideally constructed, the elevation
of the weight
Quoted message said:could remain constant.
So when you went down a hill, the weight would effectively stay at the
top of the hill, although it would be moving forwards with the bike.
(clip)
^^^^^^^^^^^^^^^^^^^^^
Your idea is that the weight would change speed with the bicycle, but not
elevation, so it would store kinetic energy on the descents, and release it
on the ascents.
That's true, although I didn't think of that.
Quoted message said:However, if you allowed the weight to go up and down with
the bike, it would store abd release potential energy as well. How do you
figure that potential energy is not as beneficial as kinetic energy?
Potential energy is fine, and regenerative braking is a sound idea in
principle, especially if the descents are tricky enough that you have to
brake anyway for safety reasons.
But carrying extra dead-weight as we know reduces your performance
(although the reasons why aren't totally obvious).
So if you have a regenerative braking system you have to ask how much
energy can you store for a given weight overhead.
Usually when considering such things there's no straightforward physical
relationship between the amount of energy you can store and the mass
needed to store it in. The fact that you get so many Joules capacity
for a kilogram of lead/acid is just a contingent fact about the way
those batteries happen to work.
But if you're storing energy by winching weights, the stored energy is
closely related to the weight-- it's just a function of the weight and
the height.
The higher you can raise the weights, the less weight you have to carry
for a given energy storage capability.
You could store a lot of energy in a carbon-fibre pea weighing 5g if you
winched it hundreds of miles into the air. That bike would probably work
quite well (this is a thought experiment of course...). On that machine
you'd winch the weight up at a much faster rate than that at which you
descended.
On the other hand if you put 100kg on the bike and only lift it up and
down a metre or so, you're very unlikely to win.
So I think the crossover point, between winning and losing, may be the
point at which you lift and lower the weight by just the amount
necessary for it to have a constant elevation throughout the ride.
But the details need more working out to be sure about that.
To answer the original question, you're always better to engage the
winch than not if you have to carry this weights arrangement anyway.
Quoted message said:BTW, since this is only a thought experiment, I would substitute a
wind-up spring for the weight. This would wind up on downhills, are
unwind on uphills. If it were very light (ideally, weightless) this
would be equivalent to keeping the weight at the elevation of the top
of the tallest hill for the entire ride.
This is a slightly different question. If you have to brake anyway, then
you will definitely win with a practically weightless spring (similar in
principle to a high-altitude carbon fibre pea). But if you don't, then
is there any point in regen-braking?
I suspect that when you take air resistance into account there is. If
you go down hills quite slowly storing up energy in your regen brakes,
you're losing less energy to the wind, although you're going a bit
slower. But you should be able to more than make up that lost time up
the hills when you take the stored energy back. You will have a
smaller deviation in your speed over the course and a higher average
speed for the same net energy expenditure. By avoiding such high speeds
you lose less energy in total to the wind. This is because wind
resistance power goes roughly as the cube of speed.