Can lowering the speed limit increase accidents?
By MUNGAI KIHANYA
The Sunday Nation
Nairobi,
20 January 2013
When I was a young boy, I used to think that the “80KPH” written at the
back of light commercial vehicles (so-called, “Pick-Ups”) was an
indication of the distance that it would cover if driven at its top
speed for one hour. Of course I was wrong; very wrong! As I later came
to learn, the number indicates the maximum speed that the vehicle is
allowed under the law.
Upon learning the meaning of the numbers, the next question that came to
mind was; why do they make vehicles that can do 140km/h but then limit
them to only 80km/h? This puzzle has remained in my mind for the last
several decades and, even today, I still haven’t figured it out.
I have also never understood why they make a car that can only do, say
130km/h but then install a speedometer that reads up to 180km/h. Why add
the extra 50km/h on the display yet the pointer will never reach that
area?
These questions came back to my mind recently while I was driving on the
new 12-lane Thika highway. Before this road was expanded, it was a
four-lane dual-carriageway with a speed limit of 110km/h. After
rebuilding into a quadruple-carriageway, the limit was reduced to
100km/h!
It defeats logic. You can comfortably cruise at 140km/h on the
450km-single-carriage Mombasa highway and no one will ask you a
question even though the speed limit there is 80km/h. But dare drive at
104km/h in the 40km-quadruple-superhighway…
Perhaps the lower speed limit was an attempt to reduce accidents on the
road. If that was the case, I would be interested to know if it has
borne fruit. I am curious because the assumption that slower vehicles
cause fewer accidents can be challenged.
There is an interesting branch of physics known as statistical
mechanics. It is concerned with the interactions of randomly moving
bodies – how they collide with each other and with the confinement walls
– for example, gas molecules.
The analysis reveals that the probability of collision depends directly
on the average speed: the faster the bodies are, the more likely they
are to collide. That is obvious, but it is not the only factor.
It also turns out that the probability of collision is dependent upon
the variance of the speeds. That is; if all bodies moved at the same
speed in the same direction, they would never collide – obviously! But
when they are moving at different speeds and directions, the chances of
colliding are much greater. No wonder we have more accidents on two-way
roads than on one-ways.
But the greatest factor is the concentration of bodies – the number per
unit space. It turns out that the probability of collision increase with
the square of the concentration. That is, if say, the concentration is
doubled, the chances of collision will quadruple!
Now slowing vehicles down has the effect of increasing their
concentration. That’s how we get traffic jams whenever there are bumps
on a busy highway. Therefore, lowering the speed limit might actually
increase the number of accidents. Perhaps the ministry of transport
should do a detailed study to establish whether this is so.
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