PedalToolbox exists because cycling's numbers are settled science
scattered across marketing. The physics has been published for
decades. What's been missing is one set of tools that applies it
carefully, remembers your bike, shows its working, and tells you the
truth even when the truth is "you don't need to buy anything."
Why this site exists
Ask the internet a bike question with a number in it and you'll get
three kinds of unhelpful answer. The shop-adjacent calculator sizes
you toward what's in stock. The marketing quotes savings measured at
speeds you'll never hold. And the genuinely good tools are scattered
one per site — a pressure calculator here, a gear chart there — each
starting from zero, none remembering the bike you told the last one
about.
Meanwhile the actual math is public and has been for years — the
power equation was validated in a journal in 1998, the training zones
are in a book, the fit formulas are older than most readers. It just
needs implementing with care, connecting together, and explaining
without an upsell attached.
Who's behind it
PedalToolbox is built and written by
Brian Hamilton and published by Hamilton Digital Media Limited,
a small UK company that also publishes puzzle sites and the rest of
the Toolbox family of calculator sites — pools, brewing, aquariums,
RVing and sports betting, each built the same way as this one.
I'm not a professional bike fitter or a race mechanic, and
I'm not going to pretend to be one. I'm a software
developer with an internet engineering degree and thirty years of
building things, including mathematical models for sports-prediction
companies — work where a formula that's slightly wrong costs someone
real money, quickly. Calculation tools are the job, and this site is
that job pointed at bicycles.
I think that's the right qualification for this particular job, and
here's the honest reasoning: most cycling numbers are physics
problems wearing lycra. The equations are settled and published. What
goes wrong in practice isn't the science — it's arithmetic applied
sloppily, calculators that ignore what the marketing wants ignored,
and advice shaped by what the person giving it happens to sell. Those
are engineering and integrity problems, and they're the ones I can
actually fix.
Where genuine domain expertise is required — a bike fit for
persistent pain, safety-critical wrenching — the site says so and
points you at the people who have it. And where a formula is a
starting point rather than an answer, the page says that too, rather
than rounding up to confidence.
How you can trust the numbers
Not "trust us" — here's the mechanism, and you can check every part
of it yourself.
Published models, cited
The physics is the validated Martin et al. (1998) power equation; pressures follow the 15% tire-drop standard; zones are Coggan/Allen; fit formulas are the classics (LeMond, Hamley), named on the page. Nothing is a mystery multiplier.
One engine per domain
Every tool that touches gearing calls one gearing engine; every speed, climb and e-bike number comes from one physics engine. Two pages on this site physically cannot disagree about the same bike, because there is only one implementation of each formula.
200+ automated checks, pinned to reality
The engines run an automated test suite on every change — including real-world validation pins: 6 W/kg up Alpe d’Huez computes to ~40 minutes, zone boundaries reproduce published tables, and 700×25 rollout lands on the number printed on every bike-computer chart.
The working is shown
Every result has a "show the math" panel with the actual arithmetic, in your units. You should never have to take a number on trust — and if the reasoning looks wrong, you can see exactly where.
The sources we build on
The science here isn't ours and we don't claim it. Riding physics
follows Martin et al., "Validation of a Mathematical Model for
Road Cycling Power" (Journal of Applied Biomechanics, 1998).
Tire pressure builds on the 15% tire-drop standard from Frank Berto's
work, with rim limits from the ETRTO standards. Training zones and
power profiling come from Coggan and Allen's Training and Racing
with a Power Meter. Gearing conventions are the ones Sheldon
Brown documented; fit formulas are Greg LeMond's and Hamley &
Thomas's, named where used. Sizing charts and component data follow
manufacturers' published specifications.
Martin, J. C. et al. (1998). Validation of a mathematical model for road cycling power. Journal of Applied Biomechanics, 14(3), 276–291. doi:10.1123/jab.14.3.276
Martin, J. C. & Spirduso, W. W. (2001). Determinants of maximal cycling power: crank length, pedaling rate and pedal speed. European Journal of Applied Physiology, 84, 413–418. doi:10.1007/s004210100400
Jeukendrup, A. (2014). A step towards personalized sports nutrition: carbohydrate intake during exercise. Sports Medicine, 44 (Suppl 1), 25–33. doi:10.1007/s40279-014-0148-z
American College of Sports Medicine (2007). Exercise and fluid replacement (position stand). Medicine & Science in Sports & Exercise, 39(2), 377–390. doi:10.1249/mss.0b013e31802ca597
Ainsworth, B. E. et al. (2011). 2011 Compendium of Physical Activities. Medicine & Science in Sports & Exercise, 43(8), 1575–1581. doi:10.1249/MSS.0b013e31821ece12
Allen, H. & Coggan, A. Training and Racing with a Power Meter (VeloPress) — the seven-zone model, the matching heart-rate levels and the power-profile benchmarks.
Friel, J. The Cyclist's Training Bible (VeloPress) — the seven LTHR-based heart-rate zones and the 30-minute threshold test.
Tanaka, H., Monahan, K. D. & Seals, D. R. (2001). Age-predicted maximal heart rate revisited. Journal of the American College of Cardiology, 37(1), 153–156. doi:10.1016/S0735-1097(00)01054-8
Robergs, R. A. & Landwehr, R. (2002). The surprising history of the "HRmax = 220 − age" equation. Journal of Exercise Physiology Online, 5(2), 1–10 — the ±10–12 bpm scatter around every age formula.
Our contribution is the implementation, the testing, the connections
between tools — and a stubborn insistence on showing the arithmetic
so you're never asked to take a number on faith.
Your data, briefly
The Garage saves your bikes in your own
browser's local storage — nothing is sent to us, there are no
accounts, and the privacy policy is short
because there's genuinely little to govern. A working
erase-everything button lives on both pages.
Corrections are welcome — genuinely
A site whose entire promise is "the numbers are right" has to mean
it, which means being easy to correct. If you find a mistake — in a
calculation, a formula, a chart, or a fact in an article —
[email protected] goes straight to a person. We'll fix it quickly and note on the
page what changed and when. No defensiveness, no quiet edits.
That's not politeness. Standards get revised, components get
reformulated, and physics has assumptions. A correction channel that
people actually use is the cheapest quality control there is.
How the site makes money
Eventually, some links to products may earn a commission at no cost
to you — that's the whole model. No ads that follow you around, no
paid reviews, no sponsored placements, and nothing gated behind a
signup. The rules we hold ourselves to are written down in the
affiliate disclosure — including
the standing commitment to say so when the free option wins, which on
a bike it very often does.