Cycling Equipment · Public discussion

formula for gear rations, speeds

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Cycling Equipment
Published
2 March 2004
Last activity
4 March 2004
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Raymo853
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  1. I got the formula to calculate gear inches (crank teeth count /cog teeth count) * wheel diameter in
    inches. But what would it be for say MPH at 100 rmp? For some reason I" am having a bad brain moment
    and can't get the conversions correctly.

  2. "Raymo853" <[email hidden]> wrote in message
    "]news:[email hidden]...

    Quoted message said:

    I got the formula to calculate gear inches (crank teeth count /cog


    teeth

    Quoted message said:

    count) * wheel diameter in inches. But what would it be for say


    MPH at 100

    Quoted message said:

    rmp? For some reason I" am having a bad brain moment and can't get


    the

    Quoted message said:

    conversions correctly.

    (Crank Teeth) / (Cog Teeth) * (Wheel diameter in inches) / (12 in per ft) * pi * RPM * (60 min per
    hr) / (5280 ft per mi)

  3. Raymo853 said:

    I got the formula to calculate gear inches (crank teeth count /cog teeth count) * wheel diameter
    in inches. But what would it be for say MPH at 100 rmp? For some reason I" am having a bad brain
    moment and can't get the conversions correctly.

    MPH @ 100 RPM is one of the modes offered in my online gear calculator:

    sheldonbrown.comgears

    But the default units are Gain Ratios, which I think are a better system.

    sheldonbrown.comgain

    Sheldon "Gain Ratio" Brown +--------------------------------------+
    | Without deviation from the norm, | progress is not possible | -- Frank Zappa |
    +--------------------------------------+ Harris Cyclery, West Newton, Massachusetts Phone 617-244-
    9772 FAX 617-244-1041 harriscyclery.comharriscyclery.com Hard-to-find parts shipped Worldwide
    captainbike.comcaptainbike.com sheldonbrown.comsheldonbrown.com

  4. Gear ratios calculations are better for some situtations, however, I am concerned about MPH at a
    certain RMP while considering cassette choices for an upcoming race.

    "Sheldon Brown" <[email hidden]> wrote in message
    "]news:[email hidden]...

    Quoted message said:
    Raymo853 said:

    I got the formula to calculate gear inches (crank teeth count /cog teeth count) * wheel diameter
    in inches. But what would it be for say MPH at


    100

    Quoted message said:
    Quoted message said:

    rmp? For some reason I" am having a bad brain moment and can't get the conversions correctly.

    MPH @ 100 RPM is one of the modes offered in my online gear calculator:

    sheldonbrown.comgears

    But the default units are Gain Ratios, which I think are a better system.

    sheldonbrown.comgain

    Sheldon "Gain Ratio" Brown +--------------------------------------+
    | Without deviation from the norm, | progress is not possible | -- Frank Zappa |
    +--------------------------------------+ Harris Cyclery, West Newton, Massachusetts Phone 617-244-
    9772 FAX 617-244-1041 harriscyclery.comharriscyclery.com Hard-to-find parts shipped Worldwide
    captainbike.comcaptainbike.com sheldonbrown.comsheldonbrown.com

  5. Quoted message said:

    Gear ratios calculations are better for some situtations, however, I am concerned about MPH at a
    certain RMP while considering cassette choices


    for

    Quoted message said:

    an upcoming race.

    You can try EasyGear (ultimade.nlindex.php4) if you're willing
    to use metric values.

    "Raymo853" <[email hidden]> wrote in message "]news:[email hidden]...

    Quoted message said:

    Gear ratios calculations are better for some situtations, however, I am concerned about MPH at a
    certain RMP while considering cassette choices


    for

    Quoted message said:

    an upcoming race.

    "Sheldon Brown" <[email hidden]> wrote in message
    "]news:[email hidden]...

    Quoted message said:
    Raymo853 said:

    I got the formula to calculate gear inches (crank teeth count /cog


    teeth

    Quoted message said:
    Quoted message said:
    Quoted message said:

    count) * wheel diameter in inches. But what would it be for say MPH


    at

    Quoted message said:

    100

    Quoted message said:
    Quoted message said:

    rmp? For some reason I" am having a bad brain moment and can't get


    the

    Quoted message said:
    Quoted message said:
    Quoted message said:

    conversions correctly.

    MPH @ 100 RPM is one of the modes offered in my online gear calculator:

    sheldonbrown.comgears

    But the default units are Gain Ratios, which I think are a better


    system.

    Quoted message said:
    Quoted message said:


    sheldonbrown.comgain

    Sheldon "Gain Ratio" Brown +--------------------------------------+
    | Without deviation from the norm, | progress is not possible | -- Frank Zappa |
    +--------------------------------------+ Harris Cyclery, West Newton, Massachusetts Phone 617-244-
    9772 FAX 617-244-1041 harriscyclery.comharriscyclery.com Hard-to-find parts shipped Worldwide
    captainbike.comcaptainbike.com sheldonbrown.comsheldonbrown.com


  6. On Tue, 2 Mar 2004 07:38:32 -0500, "Raymo853" <[email hidden]> wrote:

    <Gear ratios calculations are better for some situtations, however, I am <concerned about MPH at a
    certain RMP while considering cassette choices for <an upcoming race.

    Why not check out the course and let your experience be your guide?

  7. "Raymo853" <[email hidden]> wrote in message news:<[email hidden]>...

    Quoted message said:

    I got the formula to calculate gear inches (crank teeth count /cog teeth count) * wheel diameter
    in inches. But what would it be for say MPH at 100 rmp? For some reason I" am having a bad brain
    moment and can't get the conversions correctly.

    Dear Raymond,

    Here's an ancient spreadsheet that should import into almost any modern spreadsheet:

    home.comcast.netGear3.wk1

    It lets you set the number of front teeth and the rear wheel diameter and shows RPM versus MPH for a
    wide range of rear cogs.

    Here's where you can see roughly the same question, with a few pages of output that might be all
    that you want:

    groups.google.comgroups

    Good luck,

    Carl Fogel

  8. Carl fogeled:

    << Dear Raymond,

    Here's an ancient spreadsheet that should import into almost any modern spreadsheet:

    home.comcast.netGear3.wk1

    It lets you set the number of front teeth and the rear wheel diameter and shows RPM versus MPH for a
    wide range of rear cogs.

    Here's where you can see roughly the same question, with a few pages of output that might be all
    that you want:

    groups.google.comgroups
    g.google.com&output=gplain

    Good luck,

    Carl Fogel >>

    Carl, I'm surprised at you. No mention of crank length? I thought we were all getting behind Sheldon
    in the Real Gearing Revolution.

    Robert

  9. "Carl Fogel" <[email hidden]> wrote in message >

    Quoted message said:

    It lets you set the number of front teeth

    I'd give anything for my two front teeth...that's all I want for Christmas... ;-)

    Cheers,

    Scott..

  10. S. Anderson said:

    "Carl Fogel" <[email hidden]> wrote in message >

    Quoted message said:

    It lets you set the number of front teeth

    I'd give anything for my two front teeth...that's all I want for Christmas... ;-)

    Dating yourself with that one!

    Bill "not dinner and a movie, either" S.

  11. "Raymo853" <[email hidden]> wrote in message news:<[email hidden]>...

    Quoted message said:

    Gear ratios calculations are better for some situtations, however, I am concerned about MPH at a
    certain RMP while considering cassette choices for an upcoming race.

    Gear inches X Cadence X .003 = speed in MPH

    For instance, a 112 inch gear at 90 RPM yields 30.24 MPH .

    The constant is actually .0029714... but 3 digits after the decimal point should be good enough.

    Jeff "memorized pi to 20 digits when I was in grade school" Wills

  12. Quoted post said:

    Originally posted by R15757
    Carl fogeled:

    << Dear Raymond,

    Here's an ancient spreadsheet that should import into almost any modern spreadsheet:

    home.comcast.netGear3.wk1

    It lets you set the number of front teeth and the rear wheel diameter and shows RPM versus MPH for a
    wide range of rear cogs.

    Here's where you can see roughly the same question, with a few pages of output that might be all
    that you want:

    groups.google.comgroups
    g.google.com&output=gplain

    Good luck,

    Carl Fogel >>

    Carl, I'm surprised at you. No mention of crank length? I thought we were all getting behind Sheldon
    in the Real Gearing Revolution.

    Robert

    Dear Robert,

    You are old, Father William, the young man said . . .

    Actually, all that's needed to calculate MPH is crank
    RPM, gear ratio, and rear tire size.

    That is, for a given tachometer reading, the length of
    the crank doesn't affect the speedometer reading.

    The original poster wants RPM and MPH in order to
    fiddle with his gears, not his crank, so RPM and MPH
    are what he gets.

    I'm graciously assuming that either the original
    poster uses the only correct crank length (175mm,
    like mine) or else is willing to risk certain death.

    Live and let live,

    Carl Fogel

  13. -----BEGIN PGP SIGNED MESSAGE-----

    _ I was messing around with gnuplot and came up with this style of plot for doing gear comparisions.

    stanford.edugear.png

    _ It's a plot of MPH vs gain ratio with the error bars representing a range of 60 - 100 rpm. I find
    it a very handy way to compare things, but I know from past experience that what makes sense to me
    often doesn't for others. So if there was a tool to generate these plots would you use it?

    _ Booker C. Bense

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