Assumptions: Constant speed analysis Bike weight = 22 lb Drag coefficients reference "Science of Cycling", E.R. Burke, Leisure Press, 1986, pg 126.
Inputs Wheel Diameter (inches) Crank Length (inches) Desired Constant Speed (mph) Rider's Weight (lbs) % Grade (+ for uphill,- for downhill) Mechanical Losses (3-5% is typical) % Gear Ratio (#Teeth Rear/Front) 1.00 (28/28) Slowest .872 (34/39) .718 (28/39) .615 (24/39) .512 (20/39) .435 (17/39) .359 (14/39) .654 (34/52) .538 (28/52) .461 (24/52) .385 (20/52) .327 (17/52) .269 (14/52) .200 (11/55) Fastest Air Resistance Coefficient (lbf*s^2/ft^2) Straight Arms (Cd*A =.004) Full Crouch (Cd*A =.0032) Hill Descent (Cd*A =.0027) No Rider (Cd*A=.0012) Zero Air Drag (Cd*A=0) Rolling Resistance Coefficient (lbf/lbf) .013 (27x2.25" 45 psi BMX Knobby Tires) .010 .007 .004 (27x1.125" 95 psi Road Clinchers Racing Tires) 0.00 (Zero Rolling Resistance)
Calculated Outputs Total required input power from the rider HP Watts Power needed to overcome air resistance HP % Power to overcome rolling resistance in tires HP % Power needed for elevation change HP % Power lost to mechanical losses, friction, etc. HP % Calories burned per mile kcals Average Pedal Force Lbs Average Traction Force Lbs Pedal Speed RPM Tire Speed RPM
Acknowledgements
These materials are based upon a course presented by the University of Washington developed under the Manufacturing and Engineering Education Partnership. The intent of this partnership is to develop new educational programs and to facilitate the free dissemination of these materials, thereby saving other institutions the expense and time of similar developments. Accordingly, all materials for this course may be freely copied and edited as desired.