# Does the friction between the tires of a bicycle and the ground increase as speed increases?

My question is quite simple "Does the friction between the tires of a bicycle and the ground increase as speed increases?" I know that drag does increase as velocity increases, but what happens to the friction between the tire and the ground?

• – user4552 Jan 18 '19 at 2:06

There may be data out there for bike tires, but most of what I've seen has been for car tires. Most rolling resistance is due to hysteresis in the rubber, i.e., losses because energy is dissipated into heat as the tire flexes. The sources of information that I was able to find gave seemingly contradictory claims about the variation of rolling resistance with velocity.

Between 5 and 55 mph, rolling resistance only goes up by about 1 lb. But above those speeds, tires contribute more to rolling resistance.

Andersen, "Rolling Resistance Modelling: From Functional Data Analysis to Asset Management System" (PhD thesis), http://milne.ruc.dk/imfufatekster/pdf/503.pdf --

Graphs on p. 105 (p. 117 of the pdf) show rolling resistance decreasing with speed (green curve).

Graph shows rolling resistance increasing with speed.

I would tend to believe the Andersen thesis, since he did some very elaborate regression analyses to try to disentangle different variables. Or it may be that there is no universal behavior here, and the results just depend on complicated factors like the type of rubber, hence the seemingly contradictory claims.

lets do this problem in other way. assume a wheel powered by engine. Engine provides only torque to wheel and no horizontal acceleration. the friction act to reduce the torque but also it gives horizontal acceleration to wheel. see the figure and you will understand. the horizontal acceleration is only depended on frictional force. thus as speed of tyre is increaseD ,THERE IS ACCELERATION.

1. if acceleration if constant then friction has to constant(assuming ideal situations).

2. if accelerations if also increasing with time , then only frictional force will increase. otherwise there is noT .

3. NOTE: IN IDEAL SITUTIONS THERE WILL BE NO FRICTION ACTING ON WHEEL IF IT MOVES WITH UNIFORM SPEED.

SINCE BICYLE GIVES TORQUE TO THE WHEELS , THUS YOU WILL NOW GET MY POINT.

• The OP is asking about whether rolling resistance is velocity dependent. Generic discussion of Newton's laws cannot answer this problem. – user4552 Jan 18 '19 at 19:58