# Calculate Energy Running: M x V^2

• horazio
In summary, the conversation discusses the calculation of energy used by a man running at a certain speed and weight, with one person sharing a formula and another mentioning the complexity of accurately calculating energy expenditure during running. The conversation also briefly mentions a program designed for physics students and the general inefficiency of the human body in terms of energy usage.
horazio
Hello
I was trying to calculate the energy in calories used by a man of weight M running at speed V. What would be the fastest way to calculate this?
E = 1/2 (Vf^2) x M - 1/2 (Vi^2) x M

(with Vf = final velocity and Vi = initial velocity )

Oh by the way I designed a simple program for Windows XP about http://www.freewebs.com/horazio/vcl.zip,
it's very simple but it's also useful for those who study physics. check it out

http://www.freewebs.com/horazio/freeware.htm

Last edited by a moderator:
It doesn't make any sense.A man may be running at constant speed (no KE variation),but he'd be burning calories like crazy...

Daniel.

Running is very tricky to calculate energy for because it's not perfectly linear. By linear I mean that you don't just travel straight while running. If you think of each running step as a jump at some angle from the horizontal, you can see that there will be a component in the vertical direction. This component would almost certainly depend on the runner and how fast that particular runner was going.

If you are going to do it properly, the pros have a way to correlate energy expense as a function of oxygen intake. Since you're not going to do that, you should probably look into work/power instead of energy approach. You probably won't be anywhere in thae ballpark, but it will make more sense than the energy approach.

running (or walking) uses about 50-200 calories per mile depending on your weight, and (to a lesser extent) your speed.

And, in any case, almost all of the calories burned will go "waste" energy because your body is a remarkably inefficient machine.

## 1. What is the formula for calculating energy when running?

The formula for calculating energy when running is M x V^2, where M represents the mass of the runner and V represents their velocity.

## 2. How do I determine the mass and velocity for this formula?

The mass can be determined by either weighing yourself on a scale or using your body weight. The velocity can be calculated by dividing the distance you have run by the time it took to run that distance.

## 3. What units should I use for the mass and velocity in this formula?

The mass should be measured in kilograms (kg) and the velocity should be measured in meters per second (m/s). It's important to use consistent units when using this formula.

## 4. Why is the velocity squared in this formula?

The velocity is squared in this formula because it represents the kinetic energy of the runner. Kinetic energy is calculated by taking the mass and multiplying it by the squared velocity. This means that the velocity has a larger impact on the overall energy compared to the mass.

## 5. Can this formula be used for any type of running?

Yes, this formula can be used for any type of running as long as the mass and velocity are accurately measured. However, it is important to note that this formula only calculates the kinetic energy of the runner and does not take into account other factors such as incline, wind resistance, and friction.

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