carleton
02-24-09, 01:14 AM
(This is a double post, but I figure both sub-forums would benefit)
You ever wanted to know your cadence and only have a computer that tracks speed? Fixed/track bikes are unique in that the cadence is directly related to the speed.
I'll let that sink in for a minute...
I used the Factor Label Method to figure this out. The bottom line is you need to know:
- Chainwheel Tooth count
- Rear Cog Tooth Count
- Speed (current or average)
- A magic number (that corresponds to variable tire sizes)
I won't bore you with the proof of the formula. Just make an excel spreadsheet with 4 fields plus a calculated one.
Field 1: Chainwheel Tooth Count
Field 2: Rear Cog Tooth Count
Field 3: Speed (in MPH)
Field 4: Magic Number Constant (use list below)
Field 5: Calculated as follows
(1,056 * RearCog * Speed) / (ChainWheel * MagicNumber * 3.14159)
That is your cadence!
For example:
Chainwheel: 48
Cog: 16
Speed from computer: 20 MPH
Magic Number: 26.28 (700c wheels with 23c tires)
Cadence = 85RPM
So how can you use this?
Cadence Training:
If you want to follow a cadence training program that says, 60RPM for 2 minutes then 90RPM for 30 seconds that would mean pedal up to 14MPH for 2 minutes then ratchet up to 21MPH for 30 seconds.
Average:
If you have a computer with an "auto" mode that only records average speed when the bike is moving then you can log your average cadence over your ride. Average speed of 15MPH = Average cadence of 64RPM.
Why did I do this?
Bike computers are pretty cheap ($15) even the wireless ones ($25). Wired cadence computers aren't that expensive (around $50), but wireless cadence computers start at $100+. So, using the following you can know your current and average cadence if you have a basic computer that records current and average speeds for about $25. That and I'm bored.
I got these magic numbers from Sheldon Brown's site:
29.13 = 700 X 56 / 56-622 / 29 inch
28.94 = 700 X 50 / 50-622 / 29 inch
27.86 = 700 X 44 / 44-622 / 29 inch
27.32 = 700 X 38 / 38-622
27.17 = 700 X 35 / 35-622
27 = 700 X 32 / 32-622
26.76 = 700 X 28 / 28-622
26.38 = 700 X 25 / 25-622
26.28 = 700 X 23 / 23-622
26.14 = 700 X 20 / 20-622
26.53 = Tubular / Wide
26.38 = Tubular / Narrow
28.15 = 28 X 1 1/2 / 40-635
27.18 = 27 X 1 3/8 / 35-630
27.08 = 27 X 1 1/4 / 32-630
27 = 27 X 1 1/8 / 28-630
26.88 = 27 X 1 / 25-630
You ever wanted to know your cadence and only have a computer that tracks speed? Fixed/track bikes are unique in that the cadence is directly related to the speed.
I'll let that sink in for a minute...
I used the Factor Label Method to figure this out. The bottom line is you need to know:
- Chainwheel Tooth count
- Rear Cog Tooth Count
- Speed (current or average)
- A magic number (that corresponds to variable tire sizes)
I won't bore you with the proof of the formula. Just make an excel spreadsheet with 4 fields plus a calculated one.
Field 1: Chainwheel Tooth Count
Field 2: Rear Cog Tooth Count
Field 3: Speed (in MPH)
Field 4: Magic Number Constant (use list below)
Field 5: Calculated as follows
(1,056 * RearCog * Speed) / (ChainWheel * MagicNumber * 3.14159)
That is your cadence!
For example:
Chainwheel: 48
Cog: 16
Speed from computer: 20 MPH
Magic Number: 26.28 (700c wheels with 23c tires)
Cadence = 85RPM
So how can you use this?
Cadence Training:
If you want to follow a cadence training program that says, 60RPM for 2 minutes then 90RPM for 30 seconds that would mean pedal up to 14MPH for 2 minutes then ratchet up to 21MPH for 30 seconds.
Average:
If you have a computer with an "auto" mode that only records average speed when the bike is moving then you can log your average cadence over your ride. Average speed of 15MPH = Average cadence of 64RPM.
Why did I do this?
Bike computers are pretty cheap ($15) even the wireless ones ($25). Wired cadence computers aren't that expensive (around $50), but wireless cadence computers start at $100+. So, using the following you can know your current and average cadence if you have a basic computer that records current and average speeds for about $25. That and I'm bored.
I got these magic numbers from Sheldon Brown's site:
29.13 = 700 X 56 / 56-622 / 29 inch
28.94 = 700 X 50 / 50-622 / 29 inch
27.86 = 700 X 44 / 44-622 / 29 inch
27.32 = 700 X 38 / 38-622
27.17 = 700 X 35 / 35-622
27 = 700 X 32 / 32-622
26.76 = 700 X 28 / 28-622
26.38 = 700 X 25 / 25-622
26.28 = 700 X 23 / 23-622
26.14 = 700 X 20 / 20-622
26.53 = Tubular / Wide
26.38 = Tubular / Narrow
28.15 = 28 X 1 1/2 / 40-635
27.18 = 27 X 1 3/8 / 35-630
27.08 = 27 X 1 1/4 / 32-630
27 = 27 X 1 1/8 / 28-630
26.88 = 27 X 1 / 25-630
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