How does the speed depend upon the tyre type?
You want to use paper towels in a laying box! Thanks for asking.
Yes it depends on the tyre type. example; tyres with lines drawn over their edges help vehicles to stop quickly It has been proved on a show where they took a car with these type of tyres and drove it on a wet road They found these lines are necessary to decrease car's speed and increase friction.
If anything the car is likely to slow down since you are now using much larger, more massive, tyres which require more power to keep moving. Or at least the car with truck tyres will consume more fuel to move at the same speed.
If R r is the radius of the truck tires and r is the radius of the normal, car tires and, if all other things are equal, then yes the car with the truck tyres would be going faster. Here's why. All other things equal means that the angular velocity w of the truck and car tires would be equal. In which case V wR and v wr are the truck and car tire tangential speeds. And if there is no slippage between the tyres and the road, V and v will also be the speeds of the truck and car respectively. Take the ratio V/v wR/wr (R/r) so V (R/r)v and as R/r 1.00 we se that V v also. And there you are, all other things equal, the truck with V v speed will be going faster. But, this is important, all things will probably not be equal in reality. So the real answer is. it depends on all those other things. For example, in reality the mass and increased radii of the truck tyres will likely yield a moment of inertia I kMR^2 greater than that of the car tires t kmr^2. So, unless the car's engine can boost the amount of energy it transmits to the tires to compensate for the increase in inertia, it's unlikely the angular velocities will be the same for both kinds of tire. In other words, chances are more lkely we'd have V/v wR/Wr (w/W)(R/r) and V (w/W)(R/r)v so that, depending on the relative angular velocities, V may or may not be greater for the truck. Thus the answer. it depends.
