Treadmill incline · weighted vest · rucking
What flat pace is
your incline walk?
Enter a treadmill incline walk — and a weighted vest or ruck if you carry one — and get the flat, unloaded pace that burns the same energy, plus METs and calories. It uses the ACSM walking equation and the Pandolf load-carriage equation — the formulas built for walking and carrying load, not the running math most "grade adjusted pace" tools wrongly apply to walks. Runs in your browser.
Equivalent flat, unloaded pace
≈ 4.2 mph (a jog/run)
14:17 /mi · same calories per minute as your incline walk
Population-average estimate on firm ground — not a lab measurement, and not medical or training advice. Build up gradually, especially with added load. How it’s computed →
Population-average estimate — informational only, not medical or training advice.
What it shows
Your hill walk, translated to the flat
Equivalent flat pace
The level, unloaded speed that costs the same calories per minute — and an honest label when the answer crosses from a walk into a jog.
Walking math, not running math
Unloaded incline walks use the ACSM walking equation. Most incline / grade-adjusted-pace tools reuse running formulas, which misjudge walking effort.
Weighted vest & rucking
Add a load and the cost is computed with the Pandolf load-carriage equation — the long-standing standard. Almost no calculator offers a rucking flat-pace equivalent.
METs & calories
Intensity in METs and energy in kcal/min and kcal/hour, from the modelled oxygen cost (or watts for loaded walks) and your body weight.
Honest about limits
Flags the fast-walk gray zone above 3.7 mph and light-load Pandolf caveats. Estimates for planning, with the model shown.
Nothing leaves your browser
100% static page, pure client-side JavaScript. No backend, no upload, no logs, no account.
Open methodology
Exactly how the pace is computed
No black box — every step uses a published equation, so you can check it.
- Unloaded walkACSM walking equation: VO₂ = 3.5 + 0.1·S + 1.8·S·G (S in m/min, G fractional grade). Validated ~1.9–3.7 mph; used up to 4.0 with a gray-zone note.
- Running inputIf the entered speed is ≥ 4 mph with no load, the ACSM running equation (VO₂ = 3.5 + 0.2·S + 0.9·S·G) is used instead, and labelled as a run.
- Loaded walk (vest / ruck)Pandolf, Givoni & Goldman (1977): M = 1.5·W + 2.0·(W+L)·(L/W)² + η·(W+L)·(1.5·V² + 0.35·V·G), watts; W,L in kg, V in m/s, G in %, terrain η = 1 (treadmill/pavement).
- METs & caloriesMETs = cost ÷ resting (3.5 mL/kg/min); kcal/min ≈ METs × 3.5 × body-kg ÷ 200. Watts are converted with 1 W = 0.0143 kcal/min.
- Equivalent flat paceThe level, unloaded speed whose energy cost equals your walk: solved from the ACSM walking equation at 0% grade, or — if the cost exceeds the walking range — the running equation, and then labelled walk or run.
- Honest limitsPopulation-average models, firm ground, no wind/heat. Light-load Pandolf and >3.7 mph walking are flagged. Estimates for planning, not lab values or medical advice.
The equations
VO₂ (mL·kg⁻¹·min⁻¹) = 3.5 + 0.1·speed + 1.8·speed·grade — ACSM metabolic equations, validated for treadmill walking ~50–100 m/min (1.9–3.7 mph).
VO₂ (mL·kg⁻¹·min⁻¹) = 3.5 + 0.2·speed + 0.9·speed·grade — used when the input is a run, not a walk.
Pandolf KB, Givoni B, Goldman RF (1977). Predicting energy expenditure with loads while standing or walking very slowly. J Appl Physiol 43(4):577–581.
Stated plainly: these are population-average models on firm ground with no wind or heat; the ACSM walking equation is validated ~1.9–3.7 mph and Pandolf can over-read at very light loads or very low speeds. Your real cost depends on fitness, gait efficiency, terrain and conditions. inclinepace is an informational fitness tool — not medical or training advice. Build up gradually, especially under load.
Frequently asked questions
What does inclinepace do?
You enter a treadmill (or hill) walk — speed, incline grade, and optionally a weighted vest or ruck load plus your body weight — and it tells you the flat, unloaded walking pace that costs the same energy, along with the METs and calories per minute. In short: it turns "3 mph at 10% with a 20 lb vest" into "feels like walking X mph on the flat". Everything runs in your browser.
Why not just use a normal incline-pace / grade-adjusted-pace calculator?
Most "grade adjusted pace" tools were built for RUNNING and apply running formulas to everything. Walking has a different metabolic cost curve, so running math overstates or understates the effort of an incline walk. inclinepace uses the ACSM WALKING equation for unloaded walks and the Pandolf load-carriage equation for vest/ruck work — the equations actually validated for walking and carrying load.
How does the weighted vest / rucking part work?
When you add a load, the energy cost is computed with the Pandolf, Givoni & Goldman (1977) equation — the long-standing military standard for the metabolic cost of walking under load. It accounts for body weight, the carried load, speed, and grade. Carried weight is more costly than the same speed and grade unloaded, which is why a rucked incline walk can equal a flat jog.
What does "equivalent flat pace" actually mean?
It is the speed at which walking on level ground with no load would burn the same calories per minute as your incline (and/or loaded) walk. If that energy cost is higher than any normal walk, the equivalent crosses into a jog/run, and the tool says so — that is the honest answer, not a made-up walking number.
What are METs and how are calories estimated?
A MET is a multiple of resting energy use (1 MET ≈ 3.5 mL O₂ per kg per minute). The tool converts the modelled oxygen cost (or watts, for loaded walks) into METs and into kcal/min using your body weight (kcal/min ≈ METs × 3.5 × kg ÷ 200). These are population-average estimates — your real numbers vary with fitness, efficiency, terrain, and conditions.
How accurate is it?
The equations are well-established but they are models of an average person. The ACSM walking equation is validated roughly 1.9–3.7 mph; above that it is flagged as a fast-walk gray zone. Pandolf can over-read at very light loads or very low speeds, and assumes firm ground (treadmill/pavement). Treat the output as a good estimate for planning, not a lab measurement.
Is this medical or training advice?
No. inclinepace is an informational fitness calculator. It does not know your health, injuries, or goals, and it is not a training plan or medical advice. Build up gradually, especially with added load, and talk to a qualified professional if you have any health concerns.
Is my data private?
Yes. This is a static page; every calculation happens in your browser. Your weight, speed, and load are never uploaded, there is no backend, and nothing is logged.