Data Source and Methodology
- Primary conversion constants: National Institute of Standards and Technology (NIST), Special Publication 811 (2008 Edition, updated 2019) — Guide for the Use of the International System of Units (SI). Exact values used: 1 mile = 1609.344 meters; 1 inch = 2.54 cm (exact). NIST SP 811
- Step length estimation (walking): common heuristic based on height — 0.415 × height (men), 0.413 × height (women). Reference: Cleveland Clinic, “How to Measure Your Stride Length,” 2021. Source
Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.
The Formula Explained
General distance from steps:
\\[ d = N \\times L \\]
Convert to miles using exact constants:
\\[ \\text{miles} = \\frac{N \\times L_{\\text{m}}}{1609.344} \\quad \\text{and} \\quad \\text{kilometers} = \\frac{N \\times L_{\\text{m}}}{1000} \\]
Steps per mile:
\\[ \\text{SPM} = \\frac{1609.344}{L_{\\text{m}}} \\]
Height-based step-length estimate (walking):
\\[ L_{\\text{m}} = H \\times \\begin{cases} 0.415, & \\text{men} \\\\ 0.413, & \\text{women} \\end{cases} \\]
Glossary of Variables
How It Works: A Step-by-Step Example
Scenario: You logged N = 8,000 walking steps. Your measured step length is L = 76 cm = 0.76 m.
- Compute distance in meters: d = N × L = 8000 × 0.76 = 6080 m.
- Convert to miles: miles = 6080 / 1609.344 ≈ 3.78 miles.
- Convert to kilometers: 6080 / 1000 = 6.08 km.
- Steps per mile: SPM = 1609.344 / 0.76 ≈ 2117 steps/mile.
This matches the formulas shown above and uses the exact conversion constants.
Frequently Asked Questions (FAQ)
How many miles is 10,000 steps?
With a typical 76 cm (30 in) step, 10,000 steps are about 7.6 km or 4.72 miles. Your result changes with your step length.
What’s the difference between step length and stride length?
Step length is the distance of one step. Stride length is two steps (left + right). Stride length ≈ 2 × step length.
Is the height-based estimate accurate?
It’s a heuristic suitable for quick estimates. For the most accurate results, measure your step length over a known distance and enter that value directly.
Does pace (walking vs. running) matter?
Yes. Running usually increases step length, decreasing steps per mile. If you run, measure your running step length for best accuracy.
What unit conversions are used?
Exact definitions: 1 mile = 1609.344 meters; 1 inch = 2.54 cm (exact), as published by NIST.
Why does my fitness tracker show a different distance?
Trackers estimate distance using sensors and personal profiles. Differences in calibration, gait, terrain, or pace can cause variations.
Can I use this for treadmill running?
Yes. Enter your steps and your treadmill-specific step length (measure a sample) for the most consistent results.