Exercise Duration Calculator
Calculate workout duration needed to burn a specific calorie goal
To burn 400 kcal at 9.8 METs for a 70.0 kg individual
Mathematical Formula & Scientific Methodology
Formula: Inverse Caloric Expenditure Duration Equation
Duration (min) = Target Kcal / [(MET × 3.5 × Weight (kg)) / 200]Inverts standard oxygen consumption energy equations to solve for exercise duration as the independent variable.
Model Assumptions
- Continuous steady-state exertion without extended rest intervals
Variables & Standard Units
| Symbol | Physiological Meaning | Unit |
|---|---|---|
| Target Kcal | Desired energetic expenditure | kcal |
| MET | Activity metabolic equivalent from Ainsworth Compendium | MET |
| Weight | Body mass in kilograms | kg |
Scientific Limitations
- EPOC (excess post-exercise oxygen consumption) contributes an additional 5-10% unmeasured burn following vigorous exercise
Peer-Reviewed Scientific Citations
2011 Compendium of Physical Activities: a second update of codes and MET intensities (2011)
Ainsworth BE, Haskell WL, Herrmann SD, et al. (2011) — Medicine & Science in Sports & Exercise, 43(8), 1575-1581
Key Finding: Defines Metabolic Equivalent of Task (1 MET = 3.5 ml O2/kg/min or 1 kcal/kg/hour) across hundreds of standardized physical activities.
Frequently Asked Questions
Related Calculators & Next Steps
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