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You can use these calculators to calculate air density for cycling, cadence from speed, optimal crank, seat and shin length, forces, and more..

Air Density Calculation
The air resistance acting on a rider is directly related to the density of the air, the greater the density, the greater the force.

Benefit From Less Weight
Less weight going up a slope means faster times. How much faster?

Cadence From Speed
You want a rough estimate of your cadence. You know you were doing about 30 mph in the paceline in a 53 x 14. What was your cadence?

Calculate Optimal Crank Length
Longer or shorter cranks can change the geometry and range of motion of muscles. How does this affect power?

Calculate Optimal Seat Height
Moving the seat can change the geometry and range of motion of muscles. How does this affect power?

Calculate Optimal Shin Length
"Keep the heel down." Good advice? Within a small range, it is possible to change the length of the "Shin" (See Figure 1) by pedaling with the heel up or down. The following plot shows Power for changes to a rider's "Shin Length".

Downhill Sprint
When will you need the eleven? The finish of a race is downhill. Based on your estimate of the speed of the pack when it jumps and your Power Profile, how fast will you be going when you cross the line?

Flying 200
A rider can take several paths for a Flying 200m. What path gives the shortest time?

Forces at Pedals
The Pedaling Model plots radial and tangent forces at the pedals and plots thigh and shin strength functions at points of rotation.

Forces on Rider
Wind resistance, rolling resistance, and gravity are forces acting on a rider. Power is needed to overcome these forces and move a rider at a given speed.

Forces on Rider by Source
Sometimes we want to know the forces on riders from wind, grade, rolling resistance, and wheel drag. This model returns a table with this information.

Gear Charts
Not enough gear for the speed and the rider can't keep up; too much gear and the rider can't accelerate fast enough. Small gear changes make a difference. This section gives a quantitative basis for picking one gear over another.

Gear Selection
Conditions change: wheels, air density, speeds. Pick a gear based on expected conditions.

Improved Muscle Strength
Strength training can improve muscle strength. What would be the specific benefit from strengthening particular muscle groups?

Kilo Power
What power profile could break 60 seconds in the kilo? Would a slimmer profile help?

Pedal Accelerations
This started by estimating the acceleration acting on an inclinometer being read while mounted on a bike being ridden up a hill. It evolved into a study of the accelerations of a rider during a single pedal stroke.

Pedaling Model
The Pedaling Model can be used to test the effects of changes in position, crank length, and shin length. It can be used to test the effects of different pedaling techniques and stronger muscle development. Different regions within the full range of muscle motion could yield different power outputs.

Plot Forces at Pedal
The Pedaling Model plots radial and tangent forces at the pedals and plots thigh and shin strength functions at points of rotation.

Plot Strength Functions
Strength Functions describe the power from the thighs and shins that is available to power the pedals. Strength functions are explained and examples of their use are given.





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