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Calcimator

Cycling Power Calculator

Calculate cycling power output based on speed, weight, grade, and conditions. Estimate watts and power-to-weight ratio.

About this calculator

This calculator estimates the power a cyclist must produce to hold a given speed, breaking the total into three physical components: rolling resistance, aerodynamic drag, and climbing power. Rolling resistance scales linearly with your combined rider-and-bike weight and speed, using a fixed coefficient of rolling resistance typical of a road tire on pavement. Aerodynamic drag is the dominant term at typical road speeds because it scales with the cube of your airspeed relative to the surrounding air, not just your ground speed -- doubling your speed roughly triples total power even though drag force itself only quadruples, since power is force times velocity. That's why Speed is the single biggest lever on Total Power in this model: a given percentage change in speed swings total power far more than the same percentage change in weight.

Wind Speed lets you account for a headwind, which adds to your ground speed to raise the relative airspeed you push through and increases drag, or a tailwind (entered as a negative value), which lowers that relative airspeed and can even turn drag into a push if the tailwind is stronger than your ground speed. Grade lets you add climbing power for uphill riding (positive) or the assist gravity gives you riding downhill (negative), and at a flat 0% grade climbing power is exactly zero regardless of weight or speed. What this model does not account for: drivetrain efficiency losses, tire pressure and road-surface differences beyond the fixed rolling-resistance coefficient, rider position and aerodynamic equipment, drafting behind another rider, altitude-driven changes in air density, or the extra power needed to accelerate up to your target speed rather than hold it.

Inputs

kg
km/h
%
km/h

Results

Total Power

174.48 W

≈ 17 LED bulbs

Watts per kg

2.18 W/kg

Rolling Resistance32.7 W
Air Resistance141.78 W
Climbing Power0 W
How to Use This Calculator
  1. Enter your Total Weight (rider plus bike) in kilograms.
  2. Set your Speed, Grade (hill gradient %), and Wind Speed.
  3. Review the Total Power output in watts and the breakdown by aerodynamic drag, rolling resistance, and climbing.
  4. Use the Watts per Kilogram (W/kg) value to benchmark your power-to-weight ratio.

How the result changes with Speed

SpeedTotal PowerWatts per kg
1534.07 W0.43 W/kg
2388.96 W1.11 W/kg
45527.57 W6.59 W/kg
601,199.66 W15 W/kg

What each input means

Total Weight (Rider + Bike)
Combined weight of cyclist and bicycle
Speed
Cycling speed
Grade
Road gradient percentage (positive = uphill)
Wind Speed
Headwind speed added to your ground speed for air resistance (optional). Use a negative value for a tailwind.

How this is calculated

Formula

Power = Rolling Resistance + Air Resistance + Climbing Power

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Total Weight (Rider + Bike) = 80, Speed = 30, Grade = 0, Wind Speed = 0 = 4 input(s) provided
  2. Calculate Total Power
    Total Power
    174.48240740740744 = 174.48240740740744
  3. Calculate Watts per kg
    Watts per kg
    2.181030092592593 = 2.181030092592593
  4. Calculate Rolling Resistance
    Rolling Resistance
    32.7 = 32.7
  5. Calculate Air Resistance
    Air Resistance
    141.78240740740745 = 141.78240740740745

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does Speed affect Total Power so much more than Weight does?

Aerodynamic drag scales with the cube of your relative airspeed, while rolling resistance and climbing power scale only linearly with weight. At typical road speeds drag is the largest of the three components, so a modest change in speed swings total power well beyond what the same percentage change in rider-plus-bike weight would produce.

How should I use the Wind Speed input?

Enter a positive number for a headwind, which adds to your ground speed to raise the relative airspeed your body pushes through and increases air resistance power. Enter a negative number for a tailwind, which lowers that relative airspeed -- and if the tailwind is stronger than your ground speed, the air resistance term actually turns negative, meaning the wind is pushing you rather than slowing you down.

Why is Climbing Power zero when Grade is zero?

Climbing power depends on the vertical component of your motion, which is proportional to the sine of your grade angle. At a 0% grade there's no vertical rise or fall, so that term is zero and no power is spent -- or gained -- fighting gravity, regardless of your weight or speed.

Does a negative Grade always reduce Total Power?

A negative grade (downhill) makes climbing power negative, meaning gravity contributes power rather than you, which reduces the power you personally need to supply compared to flat ground at the same speed. If that downhill assist exceeds your rolling resistance and air resistance combined, the model's Total Power figure can go negative, meaning gravity alone would carry you at least as fast as your target speed without any pedaling.

What does this calculator not account for?

It doesn't model drivetrain efficiency losses, changes in tire pressure or road surface, rider position and aerodynamic equipment like aero bars, drafting behind another rider, altitude-driven air density changes, or acceleration -- it assumes you're already holding a constant speed, not the extra power needed to get up to it.

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