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how much faster?

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rec.sport.unicycling
Published
24 May 2005
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25 May 2005
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musketman
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  1. This is a boring question but is a 24" tyre much faster than a 20" tyre?
    Cuz im sick of pedaling so fast and going nowhere!

    --
    musketman
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  2. well, what kind of riding do you do? If its for sheer distance
    purposes, you should probably look into a coker.

    e39m5

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    e39m5
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  3. yeah, it's faster, but they're both slow as hell. Get a bike if you are
    actually thinking about practicality.

    --
    gerblefranklin - Trials Unicyclist

    http://gallery.unicyclist.com/Trials-Muni

    Nick's main man.

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  4. Musketman wrote:
    -"This is a boring question but is a 24" tyre much faster than a 20"
    tyre? Cuz im sick of pedaling so fast and going nowhere"-

    The simple answer is:
    Yes, a 24" is noticeably faster than a 20".

    But, whenever I'm pedaling a 24" it feels like the thing is going
    nowhere. Consider a 26" or even better, a 29" Unicycle.

    --
    roadkill - Crash Test Dummy

    "Anyone who has never made a mistake has never tried anything new." -
    Albert Einstein
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  5. Multiply the diameter times pi to find out the circumference. Subtract
    the smaller number (small tire) from the big one. Whatever's left over
    is how much farther you'll go with each turn of the pedals.

    This of course rules out *pedaling faster*...

    --
    johnfoss - The wilder Wilder

    John Foss, the Uni-Cyclone
    "jfoss" at "unicycling.com" -- www.unicycling.com

    "Read the rules!" -- 'IUF Rulebook'
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  6. say after me "'Constant Footspeed Hypothesis'
    (http://tinyurl.com/cmjmd)"

    say it 'again' (http://tinyurl.com/88n98) and 'again'
    (http://tinyurl.com/bqdqc)

    happy reading

    --
    GILD - Waffle-[censored], Time-bider and JCTK

    if you can't say anything good about someone, sit right here by me.--
    'alice' (http://www.timeanddate.com/worldclock/custom.html?) 'roosevelt'
    (http://tinyurl.com/963jr) 'longworth' (http://tinyurl.com/78ybd)

    I feel like a fugitive from the law of averages.-- William H.
    Mauldin
    ...using nietzsche's metaphysics to escape from
    christianity...-'metro_tramp on the value of metaphysics'
    (http://tinyurl.com/4sjw6)-
    it's hard to be sure, and good to be paranoid...john childs on life on
    the internet
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  7. If I did my math right (I got up 45 minutes ago, which isn't long for
    me) if you pedal at the same rpm, a 24 inch goes 1.2 times as fast as a
    20 inch.

    --
    Unicyclist of Oz - Level 5 Unicyclist

    "-Hello. How are you?
    -No cucumber."
    --My dumb brother talking to a Subway employee
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  8. If you want speed but still want to unicycle, why not just learn to
    glide down hills which would make it faster and less tiring, or you
    could just get a geared unicycle.

    --
    ur - Unicycling Revolution
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  9. ...in that case, get a motorcycle.

    gerblefranklin said:

    *yeah, it's faster, but they're both slow as hell. Get a bike if you
    are actually thinking about practicality. *

    --
    mscalisi - Not such a newbie anymore
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  10. Ken Cline said:
    *'GILD said:

    say after me "'Constant Footspeed Hypothesis'

    Do you mean to imply that the "constant footspeed hypothesis" is a
    good model for describing the speed we obtain on different unicycles?*


    no, but it's a hell of a fun read

    the posts i linked to make it quite clear that it's more of a bit of fun
    and a very broad 'rule of thumb' than serious scientific stuff
    i've allways enjoyed the discussions around that topic and i didn't want
    a new person to the forum to never know the same joy

    --
    GILD - Waffle-[censored], Time-bider and JCTK

    if you can't say anything good about someone, sit right here by me.--
    'alice' (http://www.timeanddate.com/worldclock/custom.html?) 'roosevelt'
    (http://tinyurl.com/963jr) 'longworth' (http://tinyurl.com/78ybd)

    I feel like a fugitive from the law of averages.-- William H.
    Mauldin
    ...using nietzsche's metaphysics to escape from
    christianity...-'metro_tramp on the value of metaphysics'
    (http://tinyurl.com/4sjw6)-
    it's hard to be sure, and good to be paranoid...john childs on life on
    the internet
    'NAMASTE!' (http://tinyurl.com/4qcxw)
    'Dave' (http://www.lyricsdir.com/d/deep-purple/child-in-time.php)
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  11. Ken Cline said:

    *Unfortunately, this theory ignores the energy required of the
    rider.
    If reduce wheel size and crank size proportionally with that, you'll
    quickly find you can't spin fast enough to keep up with the original
    wheel. The reason is that your foot has to accelerate faster on the
    smaller wheel, and that takes more energy.

    As an alternative, I suggest considering a "constant foot
    acceleration
    hypothesis", where pedalling energy, rather than foot speed, is
    maintained as a constant. If you do this, you find that the cranks
    on
    smaller unicycles need to be proportionally smaller than those on
    larger wheels to maintain the same forward speed. This means you
    have
    proportionally less torque on the smaller wheel, which is
    consequently
    harder to control. If you keep cranks within a reasonable range
    (which depends on rider skill), you'll find that bigger wheels go
    faster.
    *

    It is a rule of thumb, no-one's suggesting it's anything more than that.
    However, lots of experienced riders of short cranks / big wheels seem to
    think it's a pretty good one. In my experience over thousands of miles
    on each, it works okay between a 29" and a 36" wheel until you get to
    very silly short cranks (<100mm) on the 29er where you're just so
    lacking in control that the bumps take you off.

    It's nice to calculate some super clever answer, but that's never going
    to be much use as a rule of thumb that you can just work out in your
    head. It still going to be inaccurate due to the many variables ignored
    by both methods, such as the different weight of the wheel relative to
    the foot / the moving parts of the body / the rider, the differing
    accelerations of various body parts and how that relates to the
    acceleration of the foot, ie. what percentage of the body weight you're
    accelerating is just going round in circles etc.

    Joe

    --
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  12. joemarshall said:

    It is a rule of thumb, no-one's suggesting it's anything more than that.
    However, lots of experienced riders of short cranks / big wheels seem to
    think it's a pretty good one.

    As a rule of thumb it is great. Changing crank length proportionally
    with wheel size makes sense since it yields equal force on thewheel
    when making control corrections.

    What doesn't make sense is pretending that pedal velocity is a primary
    factor in determining riding speed. It is not. The term "constant
    footspeed hypothesis" is misleading. Come up with a different name
    and I'll stop complaining.

    Ken

  13. Ken Cline said:

    *As an alternative, I suggest considering a "constant foot
    acceleration
    hypothesis", where pedalling energy, rather than foot speed, is
    maintained as a constant. If you do this, you find that the cranks
    on
    smaller unicycles need to be proportionally smaller than those on
    larger wheels to maintain the same forward speed. This means you
    have
    proportionally less torque on the smaller wheel, which is
    consequently
    harder to control. If you keep cranks within a reasonable range
    (which depends on rider skill), you'll find that bigger wheels go
    faster. *

    Have you run any sample calculations for constant foot acceleration
    compared to constant foot speed? I'm too lazy to run the numbers right
    now and it has also been a long time since I've done any dynamics so I'm
    all rusty with the equations.

    I can see how acceleration is a better measurement than speed since your
    feet are moving in a fast circle. Anything moving around in a circle is
    accelerating even if it is moving at a constant speed.

    --
    john_childs - Guinness Mojo

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  14. musketman said:

    *This is a boring question but is a 24" tyre much faster than a 20"
    tyre? Cuz im sick of pedaling so fast and going nowhere! *

    Let's make it interesting, then. A 20" tire dropped from a tall building
    is much faster than a 24" tire that is on the floor. They are the same
    speed when they are duct-taped together. Putting a person on a unicycle
    with one of these tires attached in a conventional manner adds
    complications which make it not as fun or interesting.

    A 20" tire fired from a canon is much faster than a 24" tire thrown from
    a mule. A 24" tire being carried by a camel, however, is faster than a
    20" tire at the bottom of a still pond.

    --
    harper - TANKED at GASWORKS

    -Greg Harper

    B L U E S H I F T

    "My world view has come crashing down like a drunk clown on a giraffe,
    riding through a cactus patch..." -evil-nick on "Entry of the
    Gladiators"
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  15. mscalisi said:

    *...in that case, get a motorcycle. *

    ...with a 1000cc engine. Anything smaller than that is just too slow!

    --
    corbin - Treehouse Muni Rider

    http://www.corbinstreehouse.com
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  16. GILD said:

    *say after me "'Constant Footspeed Hypothesis'
    (http://tinyurl.com/cmjmd)"

    say it 'again' (http://tinyurl.com/88n98) and 'again'
    (http://tinyurl.com/bqdqc)

    happy reading *

    Thanks GILD. These are great posts.

    Lots of fun to read.

    --
    munipsycho - CrashTestDummies are us.

    =====================
    'Victory belongs now to this small tree.'
    (http://munipsycho.com/stories/a_little_tree.jsp)

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    I can fly too. But I can only fly down.
    -Little Bear

    Imagine all the people
    Riding on one wheel.
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  17. john_childs said:

    Have you run any sample calculations for constant foot acceleration
    compared to constant foot speed? I'm too lazy to run the numbers right
    now and it has also been a long time since I've done any dynamics so I'm
    all rusty with the equations.

    Yes, but before I go on, I'm not claiming this is very useful. The
    problem being that as cranks get really short, you lose mechanical
    advantage for controlling the unicycle and watse energy trying to
    maintain stability.

    That said, the equations are pretty simple. The magnitude of
    acceleration, a, needed to keep your foot spinning on the pedal is

    a = l*v^2/r^2

    where l is crank length,
    v is the unicycle's speed, and
    r is the wheel's radius

    Keeping forward speed and pedal speed constant yields the equation

    l1 / r1^2 = l2 / r2^2

    In words, crank length grows with the square of wheel size.

    Concretely, taking a coker with 175mm cranks as the largest likely
    combination and scaling down yields the following table of
    iso-accelerated unicycles:

    36" with 175mm cranks
    29" with 113mm
    26" with 91mm
    24" with 78mm
    20" with 54mm

    To compare a different combination, you can multiply all the crank
    lengths by the constant of your choice.

    Ken

  18. To be meaningful, I think you'd have to take into account leg mass,
    which is different for the different sections of the leg. Shorter
    cranks use much more movement of the lower, less massy sections of the
    leg than longer cranks.

    And mules are even massier! So the mire gets deeper...

    --
    U-Turn - As long as my feet keep movin'...

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