This is actually a pretty
complicated question. What you are asking is what constant speed
will give the best mileage. We won't talk about stops and
starts. We'll assume you are going on a very long highway trip
and want to know what speed will give you the best mileage.
We'll start by discussing how much power it takes to push the
car down the road.
The power
to push a car down the road varies with the speed the car is
traveling. The power required follows an equation of the
following form:
road load power = av + bv2 + cv3
The letter v represents the velocity of the car, and
the letters a, b and c represent three
different constants:
- The a component comes mostly from the rolling
resistance of the tires, and friction in the car's components,
like drag from the brake pads, or friction in the wheel
bearings.
- The b component also comes from friction in
components, and from the rolling resistance in the tires. But
it also comes from the power used by the various pumps in the
car.
- The c component comes mostly from things that
affect aerodynamic drag like the frontal area, drag
coefficient and density of the air.
These constants will be different for every car. But the
bottom line is, if you double your speed, this equation says
that you will increase the power required by much more than
double. A hypothetical medium sized SUV that requires 20
horsepower at 50 mph might require 100 horsepower at 100
mph.
You can also see from the equation that if the velocity v
is 0, the power required is also 0. If the velocity is very
small then the power required is also very small. So you might
be thinking that you would get the best mileage at a really slow
speed like 1 mph.
But there is something going on in the
engine
that eliminates this theory. If your car is going 0 mph your
engine is still running. Just to keep the cylinders moving and
the various fans, pumps and generators running consumes a
certain amount of fuel. And depending on how many accessories
(such as headlights and air conditioning) you have running, your
car will use even more fuel.
So even when the car is sitting still it uses quite a lot of
fuel. Cars get the very worst mileage at 0 mph; they use
gasoline but don't cover any miles. When you put the car in
drive and start moving at say 1 mph, the car uses only a tiny
bit more fuel, because the road load is very small at 1 mph. At
this speed the car uses about the same amount of fuel, but it
went 1 mile in an hour. This represents a dramatic increase in
mileage. Now if the car goes 2 mph, again it uses only a tiny
bit more fuel, but goes twice as far. The mileage almost
doubled!
In effect the efficiency of the engine is improving. It uses
a fixed amount of fuel to power itself and the accessories, and
a variable amount of fuel depending on the power required to
keep the car going at a given speed. So in terms of fuel used
per mile, the faster the car goes, the better use we make of
that fixed amount of fuel required.
This trend continues to a point. Eventually, that road load
curve catches up with us. Once the speed gets up into the 40 mph
range each 1 mph increase in speed represents a significant
increase in power required. Eventually, the power required
increases more than the efficiency of the engine improves. At
this point the mileage starts dropping. Let's plug some speeds
into our equation and see how a 1 mph increase from 2 to 3 mph
compares with a 1 mph increase from 50 to 51 mph. To make things
easy we'll assume a, b and c are all equal
to 1.
| Speed |
Equation |
Result |
| 3 mph |
3+32+33 |
39 |
| 2 mph |
2+22+23 |
14 |
| Power Increase |
25 |
| 51 mph |
51+512+513 |
135,303 |
| 50 mph |
50+502+503 |
127,550 |
| Power Increase |
7,753 |
You can see that the increase in power required to go from 50
to 51 mph is much greater than to go from 2 to 3 mph.
So, for most cars, the "sweet spot" on the speedometer is in
the range of 40-60 mph. Cars with a higher road load will reach
the sweet spot at a lower speed. Some of the main factors that
determine the road load of the car are:
- Coefficient of drag. This is an indicator of how
aerodynamic a car is due only to its shape. The most
aerodynamic cars today have a drag coefficient that is about
half that of some pickups and SUVs.
- Frontal area. This depends mostly on the size of
the car. Big SUVs have more than double the frontal area of
some small cars.
- Weight. This affects the amount of drag the tires
put on the car. Big SUVs can weigh two to three times what the
smallest cars weigh.
In general, smaller, lighter, more aerodynamic cars will get
their best mileage at higher speeds. Bigger, heavier, less
aerodynamic vehicles will get their best mileage at lower
speeds.
If you drive your car in the "sweet spot" you will get the
best possible mileage for that car. If you go faster or slower,
the mileage will get worse, but the closer you drive to the
sweet spot the better mileage you will get.