Saturday, December 1, 2012

Analyzing traffic patterns using fluid motion

By Lauren Charette

By using the average speed of cars on a highway and the number of lanes as the radius we can
get an idea about the ration of the number of cars on the road in a given area and understand the
amount of traffic.

Given the equation:

Q=AV

If the cars are moving at a speed of 27 m/s And the road is four lanes wide a lane being 3ms so
we’ll give it an r value of 12m and we’ll look at a 10m length so for this part the area is 120m2

Q=27*120

Q=3240
If the velocity is consistent but the number of lanes is reduced to 3 what happens to the speed?

Q=90*27

Q=2430

However because bottlenecking causes cars to slow down if the speed is reduced five m/s what is
the rate of flow?

90*22=Q

Q=1980

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