The wheelbase of a
vehicle equals the distance between its front and rear wheels. At equilibrium, the total
torque of the forces acting on a vehicle is zero. Therefore, the wheelbase is related to the
force on each pair of tires by the following formula:
where is the force on the front tires, is the force on the rear tires, is the wheelbase, is the distance from the
center of mass (CM) to the rear wheels, is the distance from the center of gravity to the front wheels ( + = ), is the
mass of the vehicle, and is the
gravity constant. So, for example, when a truck is loaded, its center of gravity shifts rearward and the force on the rear tire increases. The vehicle will ride lower. The amount the vehicle sinks will depend on counter acting forces like the size of the tires, tire pressure, and the stiffness of the
suspension. If the vehicle is
accelerating or decelerating, extra torque is placed on the rear or front
tire respectively. The equation relating the wheelbase, height above the ground of the CM, and the force on each pair of tires becomes:
where is the force on the front tires, is the force on the rear tires, is the distance from the CM to the rear wheels, is the distance from the CM to the front wheels, is the wheelbase, is the mass of the vehicle, is the acceleration of gravity (approx. 9.8 m/s2), is the height of the CM above the ground, is the acceleration (or deceleration if the value is negative). So, as is common experience, when the vehicle accelerates, the rear usually sinks and the front rises depending on the suspension. Likewise, when braking the front noses down and the rear rises.:
Because of the effect the wheelbase has on the weight distribution of the vehicle, wheelbase dimensions are crucial to the balance and steering. For example, a
car with a much greater weight load on the rear tends to
understeer due to the lack of the load (force) on the front tires and therefore the grip (
friction) from them. This is why it is crucial, when towing a single-axle caravan, to distribute the caravan's weight so that down-thrust on the tow-hook is about 100 pounds force (400 N). Likewise, a car may
oversteer or even "spin out" if there is too much force on the front tires and not enough on the rear tires. Also, when turning there is lateral torque placed upon the tires which imparts a turning force that depends upon the length of the tire distances from the CM. Thus, in a car with a short wheelbase, the short lever arm from the CM to the rear wheel will result in a greater lateral
force on the rear tire which means greater acceleration and less time for the driver to adjust and prevent a spin out or worse.
Wheelbases provide the basis for one of the most common
vehicle size class systems.
Varying wheelbases within nameplate
Luxury vehicles are offered with long wheelbase variants to increase the spaciousness and therefore the luxury of the vehicle. This practice can often be found on
full-size cars like the
Mercedes-Benz S-Class, but
ultra-luxury vehicles such as the
Rolls-Royce Phantom and even
large family cars like the
Rover 75 came with 'limousine' versions. While Prime Minister of the United Kingdom,
Tony Blair was given a long wheelbase version of the Rover 75 for official use.
coupé varieties of the some vehicles such as the
Honda Accord are usually built on shorter wheelbases than the
sedans they are derived from.
wheelbase on many commercially available
motorcycles is so short, relative to the height of their
centers of mass, that they are able to perform
In skateboarding the word 'wheelbase' is used for the distance between the two inner pairs of mounting holes on the deck. This is different from the distance between the rotational centers of the two wheel pairs. A reason for this alternative use is that decks are sold with prefabricated holes, but usually without trucks and wheels. It is therefore easier to use the prefabricated holes for measuring and describing this characteristic of the deck.
A common misconception is that the choice of wheelbase is influenced by the height of the skateboarder. However, the length of the deck would then be a better candidate, because the wheelbase affects characteristics useful in different speeds or terrains regardless of the height of the skateboarder. For example, a deck with a long wheelbase, say 22 inches (55.9 cm), will respond slowly to turns, which is often desirable in high speeds. A deck with a short wheelbase, say 14 inches (35.6 cm), will respond quickly to turns, which is often desirable when skating backyard pools or other terrains requiring quick or intense turns.