Marathon Time Calculator (Pace Converter)

Pace Conversion Formula:

\[ P_{new} = P_{ref} \times \left(\frac{D_{ref}}{D_{new}}\right)^k \]

Reference Pace:

min/mile or min/km

Reference Distance:

miles or km

New Distance:

miles or km

Exponent (k):

New Pace:

Estimated Time for New Distance:

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1. What is the Pace Conversion Formula?

The pace conversion formula estimates equivalent running paces for different distances based on the principle that pace changes non-linearly with distance. The formula is particularly useful for marathon training and race planning.

2. How Does the Calculator Work?

The calculator uses the pace conversion formula:

\[ P_{new} = P_{ref} \times \left(\frac{D_{ref}}{D_{new}}\right)^k \]

Where:

\( P_{new} \) — New pace (min/mile or min/km)
\( P_{ref} \) — Reference pace (min/mile or min/km)
\( D_{ref} \) — Reference distance (miles or km)
\( D_{new} \) — New distance (miles or km)
\( k \) — Exponent (typically ≈1.06)

Explanation: The formula accounts for the fact that runners slow down non-linearly as race distance increases, with the exponent k representing this non-linear relationship.

3. Importance of Pace Conversion

Details: Accurate pace conversion helps runners plan training paces for different distances, predict race times, and set realistic goals based on current fitness levels.

4. Using the Calculator

Tips: Enter your known pace for a specific distance, the distance you're converting from, the distance you're converting to, and the exponent value (1.06 is typical). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical value for the exponent k?
A: The exponent typically ranges from 1.05 to 1.07, with 1.06 being a commonly used average value for most runners.

Q2: How accurate is this conversion?
A: It provides a good estimate but individual variations in endurance and speed endurance will affect actual performance at different distances.

Q3: Can I use this for very short or very long distances?
A: The formula works best for distances between 5K and marathon. For shorter or longer distances, the exponent might need adjustment.

Q4: Should I use miles or kilometers?
A: The formula works with either unit, but be consistent (use all miles or all kilometers in each calculation).

Q5: How can I determine my personal exponent?
A: Compare your actual race performances at different distances to find what exponent best fits your personal performance curve.