The Cycling 360 Resistance Model

Resistance to a cyclist is influenced by atmospheric conditions and ground variations, and this resistance is unique to each rider. By gathering fundamental rider data, including the rider and bike weight, tire specifications, and preferred tire pressure, we can customize the calculations to suite the individual rider.

An integral component of our patented system for mapping real-world rides and events, we incorporate weather readings to calculate atmospheric resistance experienced by the rider on Earth. When mapping rides on other planets or moons, we leverage available weather data corresponding to the time/day of the Earth ride. In cases where weather data for other planets is unavailable, we employ “standard” atmospheric data to determine resistance.

The equation for calculating air pressure is

The equation for calculating air density is

Cycling 360 takes into consideration the impact of Gravity, Aerodynamic Drag, and Rolling Resistance in our comprehensive ride mapping system.

• Gravity: Our system incorporates gravity data when mapping rides on Earth and extrapolates this information to other planets and moons. For gas planets and moons, we assume the same altitude as the ride was mapped on Earth.
• Aerodynamic drag: To calculate aerodynamic drag, we consider factors such as shirt size to determine frontal displacement. Additionally, we take into account the type of bike to fine-tune calculations based on your riding position, recognizing that a Road Cyclists experiences less drag than a Mountain Biker.
• Rolling resistance: Various factors contribute to rolling resistance, including tire size, tire construction material, tread pattern, and tire pressure (psi). Our system carefully incorporates these elements to provide a comprehensive understanding of rolling resistance during your rides.

When all the elements are combined, the formula to calculate the power your legs must generate to sustain your chosen groundspeed on Earth is

$P_{\text{legs}}={(1-\frac{{\text{Loss}}_{\text{dt}}}{100})}^{-1}\cdot [(9.8067\cdot W\cdot \left[\sin \right(\arctan \left(\frac{G}{100}\right))+C_{\text{rr}}\cdot \cos (\arctan \left(\frac{G}{100}\right)\left)\right])+(0.5\cdot C_d\cdot A\cdot \text{Rho}\cdot {(V_{\text{gs}}+V_{\text{hw}})}^2)]\cdot V_{\text{gs}}$

We capture ground dynamics at an impressive rate of 2,000 times per second during the mapping of our rides or events. This process ensures that every nuance, from rocks and tree roots to pavement gaps, is meticulously accounted for. In our upcoming ride simulation, our calculations are executed multiple times per second, guaranteeing the most precise and realistic real-world personalized cycling simulation currently available.