Calculator · Bike

Gear × Speed × Power.

Gear ratio · speed · watts to hold it

Pick your gear and cadence, out comes your speed. Switch on advanced mode for the full power equation: aerodynamic drag, rolling resistance, climbing, and drivetrain efficiency. The watts number is the one that matters, it’s what you actually have to push for the finish time you want.

Units

Simple mode, speed from gearing

teeth
teeth
m
rpm
Advanced mode, power, climb, distance
kg
%
km
m

Output

Gear ratio
Development m / pedal stroke
Average gradient %
Finish time
Power needed watts

How the watts are calculated

Three forces resist forward motion. The drivetrain costs you a bit on top.

01

Aerodynamic drag

Paero = ½ · ρ · CdA · v³, the cubic term means small speed gains cost a lot of watts. Dominant force above ~25 km/h. CdA 0.275 is reasonable for an in-tuck road position; 0.21 is good TT.

02

Rolling resistance

Proll = m · g · Crr · v, linear in speed and weight. Crr 0.0037 is decent road tire on smooth tarmac; 0.005–0.008 is gravel.

03

Climbing power

Pclimb = m · g · v · gradient, weight×gradient is gravity working against you. Drivetrain efficiency (~98% for clean modern systems) divides the total at the end.

Note: gradient is computed as average over the whole distance, useful for estimating average power on a course. For specific climbs, use the segment’s gradient and distance instead of the full ride. Air density is fixed at 1.225 kg/m³ (sea level, 15 °C); thinner air at altitude reduces aero power.

Coach note

The biggest watts you can save aren’t in the engine.

Most athletes obsess over FTP. Three things move the needle more for the same fitness:

  • CdA, position & equipment. Going from 0.30 to 0.25 m² is ~20 watts at 40 km/h, completely free if you can hold it. Aero testing pays for itself in one race.
  • Crr, tires & pressure. A 0.001 Crr improvement is ~3–5 watts at speed. Latex tubes, fast tires, correct pressure for surface and weight.
  • Weight, only matters on climbs. On flat, an extra 1 kg costs you fractions of a watt. On a 5% climb at 25 km/h, the same 1 kg costs ~3 watts. Don’t obsess on flat courses.

Plug your numbers in, then play with the inputs. See where 10 watts comes from cheapest. That’s where to spend your training and money.

Typical values to plug in

If you don’t have measured numbers, these are population averages by riding style.

Upright road

CdA ~0.40

Hands on hoods, head up, casual ride. Crr ~0.005. Most weekend riders sit here.

In-the-drops road

CdA ~0.30

Race position, drops, hands narrow. Crr ~0.0040 with decent tires. Default for road racing.

Gravel / MTB

CdA ~0.40

Higher position, wider tires. Crr 0.006–0.012 depending on surface and pressure. Aero matters less; rolling matters more.

Drivetrain efficiency

96–98%

Clean, well-lubed modern drivetrain ≈ 98%. Dirty chain, worn cassette, cross-chained: drops to 95% or lower.

Want measured CdA, not population averages?

Field aero testing at the lab measures your CdA in your race position with your kit. Same protocol used by World Tour teams. The 10-15 watts you find here are the cheapest watts you’ll ever buy.

Spotted a bug or want a feature? Email info@yousuli.co.