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Calories Burned by Heart Rate Calculator — the Keytel equation

Estimate the energy cost of a session from your average heart rate, weight, age, sex and duration, using the published heart-rate equations rather than an activity table.

The average across the whole session, taken from a chest strap or a watch. Not your peak.
The published work fitted separate coefficients for male and female participants. They are not interchangeable.
Estimated energy cost of the session
0 kcal
 
0
Calories per minute
0
Total kilojoules
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Percent of estimated max HR
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Equivalent MET intensity
Tip: this figure is gross energy expenditure. It includes the calories you would have burned sitting still for the same period, so it is not the extra cost of exercising.
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The calories burned by heart rate calculator above estimates the energy cost of an exercise session from four numbers: your average heart rate, your body weight, your age and your sex, multiplied by how long you trained. It uses the regression equations published by Keytel and colleagues in 2005, which were fitted against oxygen consumption measured directly in a laboratory.

Arb Digital publishes free calculators for people who want a specific number without an account or an app. This one exists because heart rate data is the one thing almost every fitness watch records accurately, and because the alternative approach — looking your activity up in a table — cannot tell the difference between an easy session and a brutal one at the same sport.

What This Calculator Does, and How It Differs From the MET Tools

This is a genuinely different input set from the other energy calculators on this site, and the distinction is worth stating clearly. The calories burned calculator, the running calorie calculator, the cycling calorie calculator, the swimming calorie calculator and the walking calorie calculator all work from MET values: you name the activity and its intensity, and a published table supplies a metabolic equivalent that gets multiplied by your weight and time. They need to know what you did.

This page never asks what you did. It takes the physiological response instead. Two people doing the same class at the same nominal intensity can have very different heart rates, and the same person doing the same session can have very different heart rates on different days. A MET table cannot see that; a heart rate average can.

Neither approach is universally better. MET tables are steadier for activities with a well-defined mechanical output, such as running at a measured pace, where the energy cost really is determined by speed and body mass. Heart rate methods are better where the intensity varies unpredictably within a session, which covers most team sports, most classes and most interval work.

How to Use It

  1. Take the average heart rate your monitor reports for the whole session, including any warm-up and recovery periods you counted in the duration.
  2. Enter the duration in minutes for the same period the average covers. The two must match or the total will be wrong.
  3. Enter your weight in kilograms or pounds; the tool converts internally.
  4. Enter your age and choose the coefficient set. The published equations differ by sex in both slope and intercept.
  5. Read the per-minute figure as well as the total. It is the more comparable number across sessions of different lengths.

The Formula and How It Is Calculated

The equations come from Keytel and colleagues, "Prediction of energy expenditure from heart rate monitoring during submaximal exercise", Journal of Sports Sciences 2005. They give energy expenditure in kilojoules per minute, with heart rate in beats per minute, weight in kilograms and age in years:

Male: kJ/min = −55.0969 + 0.6309 × HR + 0.1988 × weight + 0.2017 × age
Female: kJ/min = −20.4022 + 0.4472 × HR − 0.1263 × weight + 0.0740 × age

Dividing by 4.184 converts kilojoules to kilocalories, and multiplying by the duration gives the session total. Working the default example — a 35-year-old male at 80 kg with an average heart rate of 140 for 45 minutes — gives −55.0969 + 88.326 + 15.904 + 7.0595 = 56.19 kJ/min, which is 13.43 kcal/min, or 604 kcal over the session.

The MET figure in the grid is a back-conversion, not a separate estimate: one MET is about 3.5 mL of oxygen per kilogram per minute, and one litre of oxygen releases roughly 5 kcal, so METs can be recovered as calories per minute multiplied by 200 and divided by 3.5 times body weight in kilograms. It is there so you can compare this answer against a MET table directly. The maximum heart rate used for the percentage is the Tanaka estimate of 208 minus 0.7 times age.

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Why the Equation Breaks Below About 90 Beats per Minute

Look at the male equation and note the intercept of −55.1 kJ/min. At a heart rate of zero it predicts a large negative energy expenditure, which is obviously not a physiological statement. It is a straight line fitted over the range of the study, and it says nothing sensible outside that range.

The study measured people during steady submaximal exercise, at intensities from roughly 35 to 80 percent of maximal oxygen uptake. Within that band the relationship between heart rate and oxygen consumption really is close to linear, which is what makes the method work at all. Below it the linearity breaks down badly: at rest, heart rate is governed by factors that have little to do with energy demand, and small differences in resting heart rate correspond to almost no difference in calories.

The practical rule is to treat the output as meaningful only for genuine exercise. This calculator suppresses the estimate below about 90 beats per minute rather than printing a number that would be misleading or negative. If you want an all-day figure that includes rest, the TDEE calculator builds one from basal metabolic rate and an activity multiplier, which is the right model for that question.

Gross Versus Net Calories, and Why the Difference Is Larger Than You Think

Every calorie figure produced by this method is gross: the total energy your body used during the session. Some of that would have been spent anyway, because you were alive for those 45 minutes whether or not you trained. The extra cost attributable to the exercise is the net figure, and it is what matters if you are adding the session to an energy budget.

One MET, the resting rate, is about 3.5 mL of oxygen per kilogram per minute, which for an 80 kg adult works out at roughly 1.4 kilocalories per minute. Over the default 45-minute session that is about 63 kcal of the 604, or ten percent. For a short, easy session the proportion is much larger — a gentle 20-minute walk might be a third resting metabolism. Subtracting the resting cost matters most exactly where the exercise cost is smallest.

The other reason to keep the distinction in mind is double counting. If you have already estimated a daily total using an activity multiplier, that multiplier is meant to include your training. Adding a session figure on top counts the same energy twice. Use one model or the other for any given day, not both. The BMR calculator gives the resting figure you would subtract to get a net number.

What Makes Heart Rate a Poor Proxy on a Given Day

The link between heart rate and oxygen consumption is real but it is not fixed. Several things move heart rate without moving energy expenditure, and each of them pushes this estimate upward.

Heat is the biggest. In warm conditions a large share of cardiac output is diverted to the skin for cooling, so heart rate climbs at the same workload. Dehydration reduces blood volume and does the same thing. Caffeine raises heart rate directly. So does stress, illness, poor sleep, and simply standing up. Cardiac drift is the version of this everyone has seen: heart rate creeps up through a long steady session even though the pace has not changed at all.

There are also cases where heart rate underreads the effort. Heavy resistance training produces large forces and high energy costs in short bursts without driving heart rate especially high, so a lifting session usually comes out low by this method. Anything with a big eccentric or isometric component has the same problem. And any medication that blunts heart rate response makes the method inapplicable rather than merely inaccurate.

For a sense of where a given heart rate sits for you personally, the maximum heart rate calculator and the heart rate zone calculator express the same number as a percentage and a training zone rather than as calories.

How Accurate Any Calorie Estimate Really Is

Treat every number here as an estimate with a wide band around it. The Keytel equations were fitted to a group of regularly exercising adults, and an individual can sit well away from the group average. Fitter people move more oxygen per heartbeat, so the same heart rate represents a higher energy expenditure for them than the equation assumes; less fit people sit the other way.

Measurement error compounds it. Optical wrist sensors are noticeably less reliable than chest straps during vigorous or intermittent activity, and an average that includes stretches of bad data is a bad average. A ten percent error in average heart rate translates to a substantial error in the result, because the heart rate term dominates the equation.

What the number is good for is comparison rather than accounting. The same person, using the same monitor, comparing this week's session against last week's, gets a consistent relative measure even if the absolute value is off. Using it as a precise ledger entry is asking more of it than the underlying research supports. The American College of Sports Medicine's physical activity guidance is framed in minutes and intensity rather than calories, which is a reasonable signal about how much weight calorie estimates deserve.

Need a different calculation?

Arb Digital publishes hundreds of free calculators across sports, health, maths and finance — no sign-up, no limits. If something you need is missing, tell us and we will look at building it.

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Common Mistakes to Avoid

  • Using peak heart rate instead of average — the equation is fitted to a session average, and a peak will overstate the result substantially.
  • Applying it at rest or during a warm-up — the linear relationship only holds during genuine submaximal exercise, and below about 90 bpm the equation stops meaning anything.
  • Mixing the male and female coefficients — they differ in sign as well as size, with weight entering positively in one and negatively in the other.
  • Adding the session to a total that already includes training — an activity-multiplier daily figure has already counted it once.
  • Using it for heavy lifting — strength work costs energy without raising heart rate proportionally, so this method reads low for it.

Related Free Tools From Arb Digital

Compare this against the MET-based approach with the calories burned calculator or the sport-specific running calorie calculator and cycling calorie calculator. Put a heart rate in context with the maximum heart rate calculator and the heart rate zone calculator, estimate aerobic capacity with the VO2 max calculator, and build a daily energy picture with the BMR calculator and the TDEE calculator. The full free online tools hub lists everything else.

Frequently Asked Questions

How does this differ from a calories burned calculator that asks for an activity?

An activity-based tool looks up a MET value for what you did and multiplies it by your weight and time. This one never asks what you did. It reads your body's response instead, which captures how hard the session actually was for you on that day.

What is the Keytel equation?

It is a set of regression equations published in the Journal of Sports Sciences in 2005 that predict energy expenditure in kilojoules per minute from heart rate, body weight, age and sex. They were fitted against oxygen consumption measured directly during submaximal exercise.

Why does the calculator refuse to give a number at a low heart rate?

Because the equations are straight lines fitted over an exercise range, and outside that range they produce values that are meaningless or negative. Below roughly 90 beats per minute the relationship between heart rate and oxygen use is no longer close enough to linear.

Is the result gross or net calories?

Gross. It includes the energy you would have used at rest over the same period, which is roughly 1.4 kilocalories per minute for an 80 kg adult. Subtract that if you want the additional cost of the exercise itself.

Why do male and female equations use different coefficients?

Because the original study fitted them separately, and the resulting relationships differ. Body weight carries a positive coefficient in the male equation and a negative one in the female equation, so swapping them does not merely shift the answer, it changes its direction.

Does a chest strap give a better answer than a wrist sensor?

Generally yes. Optical wrist sensors lose accuracy during vigorous or intermittent movement, and since heart rate is the dominant term in the equation, an unreliable average produces an unreliable result.

Why is my heart rate higher for the same effort in hot weather?

Because blood is diverted to the skin for cooling, so the heart beats faster to maintain the same delivery of oxygen to the muscles. Dehydration, caffeine, illness and poor sleep have similar effects, and each one inflates a heart-rate-based calorie estimate.

This calculator is provided for general information and describes how a published research equation is applied. It is not medical or nutritional advice, and it does not set a target for anyone; discuss exercise and dietary decisions with a qualified professional who knows your circumstances.

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