C
On Mon, 02 Aug 2004 16:29:24 -0700, Terry Morse
<[email protected]> wrote:
>Carl Fogel wrote:
>
>> Take two identical bicycles powered by identical machines,
>> each with an extra one-pound weight.
>>
>> Which one do you predict will be ahead after thirty seconds
>> from a standing start, the one with the weight tucked inside
>> the frame tube or the one with the weight tucked inside the
>> tire?
>
>As far as acceleration goes, the pound in the tire counts twice.
>Analytic Cycling to the rescue, using default values:
>
>Time to reach 100 meters, from standing start:
>
>"Pound on frame" case: 15.9 s, 8.8 m/s
>"Pound in tire" case: 16.0 s, 8.8 m/s
>
>The difference would be even smaller at 30 seconds, since the
>accleration drops as speed increases. If sprinting performance is
>important, you're better off reducing drag than shaving grams off of
>rims.
>
>At a steady 8.8 m/s, rolling resistance is about 300 grams (18% of
>the total static forces).
Dear Terry,
Thanks--I don't dare go back to the Analytic Cycling site,
having lost an hour there earlier today playing with
downhill speeds. (Chalo wins.)
To be fair, I expect that the 15.9 versus 16.0 was rounded
by the site, so it may not be really be a full tenth of
second (though it could be more, come to think of it).
But at about 10 meters per second and about a tenth of a
second and assuming that you plugged in all the right
numbers and the formulas are correct, it sounds as if the
rider with the 1-pound weight on the frame instead of on the
wheel ends up about a meter ahead for the same effort.
(I appreciate your effort. If I'd plugged in the numbers,
someone would probably have to point out that pounds are not
kilograms.)
For thirty seconds, the difference would be the same or
greater in terms of the 0.1 second lead--the other rider
never makes up his loss. I expect that you mean that the
lead would look less significant because it would involve
larger times--something like 29.9 versus 30.0.
Serious sprinters may be able to accelerate from zero to
more than 8.8 meters per second (19-20 mph) in 100 meters
and 16 seconds. (But I've got to resist the urge to find out
whether that makes any difference, or I'll end up trying to
make the poor site calculate how fast Chalo will be going
half-way down Mt. Everest.)
The advantage is small, but then so are most advantages in
competitive bicycling. For a lead of half a meter to a meter
and a half, most sprinters will encourage their sisters to
have dinner with me--and pick up the check.
Thanks again for the computational work,
Carl Fogel
<[email protected]> wrote:
>Carl Fogel wrote:
>
>> Take two identical bicycles powered by identical machines,
>> each with an extra one-pound weight.
>>
>> Which one do you predict will be ahead after thirty seconds
>> from a standing start, the one with the weight tucked inside
>> the frame tube or the one with the weight tucked inside the
>> tire?
>
>As far as acceleration goes, the pound in the tire counts twice.
>Analytic Cycling to the rescue, using default values:
>
>Time to reach 100 meters, from standing start:
>
>"Pound on frame" case: 15.9 s, 8.8 m/s
>"Pound in tire" case: 16.0 s, 8.8 m/s
>
>The difference would be even smaller at 30 seconds, since the
>accleration drops as speed increases. If sprinting performance is
>important, you're better off reducing drag than shaving grams off of
>rims.
>
>At a steady 8.8 m/s, rolling resistance is about 300 grams (18% of
>the total static forces).
Dear Terry,
Thanks--I don't dare go back to the Analytic Cycling site,
having lost an hour there earlier today playing with
downhill speeds. (Chalo wins.)
To be fair, I expect that the 15.9 versus 16.0 was rounded
by the site, so it may not be really be a full tenth of
second (though it could be more, come to think of it).
But at about 10 meters per second and about a tenth of a
second and assuming that you plugged in all the right
numbers and the formulas are correct, it sounds as if the
rider with the 1-pound weight on the frame instead of on the
wheel ends up about a meter ahead for the same effort.
(I appreciate your effort. If I'd plugged in the numbers,
someone would probably have to point out that pounds are not
kilograms.)
For thirty seconds, the difference would be the same or
greater in terms of the 0.1 second lead--the other rider
never makes up his loss. I expect that you mean that the
lead would look less significant because it would involve
larger times--something like 29.9 versus 30.0.
Serious sprinters may be able to accelerate from zero to
more than 8.8 meters per second (19-20 mph) in 100 meters
and 16 seconds. (But I've got to resist the urge to find out
whether that makes any difference, or I'll end up trying to
make the poor site calculate how fast Chalo will be going
half-way down Mt. Everest.)
The advantage is small, but then so are most advantages in
competitive bicycling. For a lead of half a meter to a meter
and a half, most sprinters will encourage their sisters to
have dinner with me--and pick up the check.
Thanks again for the computational work,
Carl Fogel