Calculation Methodology

Every number on this site traces back to a named source. The list below documents the thirteen core formulas used across the 24 calculators so the work is auditable rather than assumed.

Stride length from height

Stride length is derived from height using sex- and activity-specific multipliers: stride_m = height_cm × multiplier / 100. Multipliers: walking male 0.415, walking female 0.413, walking unisex 0.414, running male 0.450, running female 0.448, jogging unisex 0.430. Source: American College of Sports Medicine Health & Fitness Journal, one-mile step count study (2008).

Steps to distance

Once stride length is known, distance follows directly: distance = steps × stride_length. Source: geometric definition — fundamental measurement.

Distance to steps

The inverse of the steps-to-distance relationship: steps = distance / stride_length. Stride length is calculated from height, sex, and pace before the division. Source: inverse of the steps-to-distance relationship.

Steps per mile (ACSM regression)

For pace-aware estimates, we use the ACSM regression equation: steps_per_mile = 1084 + (143.6 × pace_min_per_mile) − (13.5 × height_inches). Valid for walking (15–20 min/mile) and running (6–15 min/mile). Source: American College of Sports Medicine Health & Fitness Journal (2008).

Calories burned (MET method)

Calorie expenditure follows the ACSM metabolic equation: calories = (MET × 3.5 × weight_kg / 200) × duration_minutes. MET values: 2.0 very slow walk, 2.8 slow walk, 3.5 average walk, 4.3 brisk walk, 5.0 power walk, 7.0 light jog, 9.8 moderate run, 11.0 fast run, 14.5 very fast run. Source: Ainsworth et al., 2011 Compendium of Physical Activities (Medicine & Science in Sports & Exercise).

Duration from steps

Walking or running time is derived from step count and cadence: duration_minutes = steps / cadence_steps_per_minute. Source: derived from the cadence definition.

Cadence (steps per minute)

Cadence is defined biomechanically as cadence = speed_m_per_min / stride_length_m × 2 (the factor of two because one stride equals two steps). Cadence bands per pace: 80–90 spm very slow, 90–100 spm slow, 100–115 spm average, 110–125 spm brisk, 120–135 spm power walk, 140–160 spm jog, 155–175 spm run, 165–185 spm fast run, 180–200 spm very fast run. Source: Tudor-Locke et al., Walking Cadence (Steps/min) and Intensity in 41- to 60-Year-Old Adults: The CADENCE-Adults Study (2018, International Journal of Behavioral Nutrition and Physical Activity).

Walking speed

Speed is calculated from distance and time: speed = distance / time. Source: fundamental physics.

Pace

Pace inverts speed and is expressed as time per unit distance: pace_min_per_unit = time_minutes / distance_units. Source: standard running and walking convention.

Walking weight loss

Weight-loss projections combine weekly calorie deficit with established energy-per-mass approximations:

  • weekly_deficit = daily_calories_burned × days_per_week
  • weight_loss_per_week_kg = weekly_deficit / 7700
  • weight_loss_per_week_lbs = weekly_deficit / 3500

Source: 7,700 kcal ≈ 1 kg body fat (Wishnofsky, 1958 — widely used clinical approximation); 3,500 kcal ≈ 1 lb. Presented as a planning tool, not a clinical forecast. The walking weight-loss calculator carries a stronger disclaimer because actual change depends on diet, metabolism, genetics, and consistency.

Treadmill steps and incline adjustment

Treadmill calculations chain speed → distance → steps, then adjust for incline:

  • distance = speed_mph × (duration_minutes / 60)
  • steps = distance_miles × steps_per_mile(height, pace)
  • MET_incline = MET_flat × (1 + incline_percent × 0.1) (each 1% adds ~10% energy cost)

The relationship is capped at 15% grade, beyond which it becomes non-linear. Source: ACSM metabolic equations for graded walking; Jones & Passfield, 1998.

Daily step goal

Daily step targets combine activity level, weight-management goal, and cadence-derived calorie cost per step:

  • target_calories = weight_kg × activity_multiplier × goal_factor
  • calories_per_step = (MET × 3.5 × weight_kg / 200) / cadence
  • target_steps = target_calories / calories_per_step

Activity multipliers: 1.2 sedentary, 1.375 lightly active, 1.55 moderately active, 1.725 active, 1.9 very active. Goal factors scale the target to the user's objective: 1.0 general health, 1.15 improve fitness, 1.3 weight loss. Step-count evidence: under 60 years old, 7,000–9,000 steps/day for mortality-risk reduction; 60 and over, 6,000–8,000 steps/day. Sources: Mifflin-St Jeor and Harris-Benedict activity multipliers; CDC weight-loss calorie guidance; Paluch et al., Prospective Association of Daily Steps With Cardiovascular Disease (2022, Circulation); Lee et al., Association of Step Volume and Intensity With All-Cause Mortality in Older Women (2019, JAMA Internal Medicine).

Steps per minute to speed

Converting cadence directly to speed uses stride length as the bridge:

  • speed_mph = (cadence_spm × stride_length_ft) / 5280 × 60
  • speed_kmh = (cadence_spm × stride_length_m) / 1000 × 60

Source: unit conversion from cadence and stride; biomechanical derivation.

Review cadence

Formulas are re-reviewed every 12 months. Each calculator page lists its last reviewed date in the footer area. Corrections reach us through the contact page.