On Thu, 20 Apr 2006 08:51:33 -0500, Tim McNamara
<
[email protected]> wrote:
[snip]
>By reputation, 7 speed hubs have much higher friction losses, so
>climbing a hill in bottom gear will be harder with the 7 speed hub than
>with a derailleur system of the same gear ratio. I have read some
>opinions by hub gear users that the bottom two gears are no easier to
>pedal than third gear due to the friction losses. However, those are
>likely to be lower gears than you would be able to get with a 3 speed.
[snip]
Dear Tim,
Kyle and Berto tested the efficiency of various internal hub
gears and a derailleur:
http://www.ihpva.org/pubs/HP52.pdf
The two tables at the end compare the various systems at 80,
150, and 200 watts, with a note indicating that the raw
figures would rise 2% to 2.5% if corrected for the extra
loss of the measuring instrument.
Here are the raw 150-watt 1st gear efficiencies:
94.2 Sachs 3-speed
93.0 Shimano 3-speed 93.50% average
93.3 Sturmey 3-speed
95.6 Shimano 4-speed
89.9 Sachs 7-speed
91.8 Shimano 7-speed 90.27% average
89.1 Sturmey 7-speed
90.6 Rohloff 14-speed
94.6 Shimano 3x9 derailleur (from table 2)
The 3-speed hubs are indeed slightly more efficient than the
7 and 14 speed hubs, but the most actual amount of power
lost is less than 4 watts.
Here are the raw 150-watt efficiencies for the lowest 3
gears:
91.8 92.9 89.9 Shimano 07 varies 3.0%
89.1 89.0 91.1 Sturmey 07 varies 2.1%
90.6 92.5 89.9 Rohloff 14 varies 2.6%
(The Sachs 7 broke and couldn't do second or third gear.)
For the working 7 and 14 speed hubs, the first gear
efficiency is always in between the other two gears. Again,
the most actual power lost is less than 5 watts.
To give some idea of the difference, here's what a speed
calculator that can easily change transmission efficiency
predicts for its default rider grinding up a 7% slope.
http://w3.iac.net/~curta/bp/velocity/velocity.html
Shimano 07
1st 91.8 5.2504 mph
2nd 92.9 5.3106 mph
3rd 89.9 5.1461 mph
Sturmey 07
1st 89.1 5.1022 mph
2nd 89.0 5.0967 mph
3rd 91.1 5.2120 mph
Rohloff 14
1st 90.6 5.1846 mph
2nd 92.5 5.2887 mph
3rd 89.9 5.1461 mph
After an hour of steady climbing, the first-gear riders
would be in the middle of the pack, which would have spread
out over about 1,130 feet.
The gearing efficiency differences do exist, but they're
probably too small for any rider to measure reliably even
with a speedometer that reads in 0.1 mph increments.
In any case, the comfort and cadence provided by a
particular gear probably matters more than any slight
improvement in theoretical efficiency. Fiddling with the
numbers is fun, but riders tend to choose a gear whose
cadence feels better.
Cheers,
Carl Fogel