The Yellow Light - Iona Physics

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Iona Physics Experiment
Engineering Lab: To Check the Timing of a Yellow Light
Now that we’ve studied the distance/time/speed relationships, we can investigate a very practical application: Is the
yellow portion of the timing cycle of a traffic light set properly?
Explanation: As you approach an intersection where the light is green, it suddenly turns yellow. If you are far enough
away (before the intersection) you can stop before entering the intersection. However, if you are unable to stop before
entering the intersection, you must continue all the way through it.
The law in most states may be understood to say that you may neither enter nor continue through an intersection when
the light in your direction is red. Therefore, the light needs to be yellow for a long enough time that any auto traveling
at the legal speed limit which cannot stop before entering the intersection is able to completely clear the intersection
before the light turns red.
If the light is yellow for too short a time then there will exist a DILEMMA ZONE. A Dilemma zone is a region before an
intersection where the driver who is traveling at the legal limit is too close to stop, and too far away to clear the
intersection before the light turns red.
Since a car must not be crossing the intersection when the light turns red, a dilemma zone exists if a car traveling at the
legal speed limit cannot, during the time the light is yellow, travel a distance equal to the width of the intersection plus
the length of the car (use 17 feet as an average) plus the stopping distance. (We call this the Required Yellow Distance).
Procedure:
1. Choose an intersection with a traffic light. Record the intersection location and the direction you are traveling.
2. Time the duration of the yellow light several times in the direction in which you will be traveling. Find the AVERAGE of
these readings and use the average in your calculations.
3. Measure the width of the intersection in feet.
4. Record the local speed limit in the direction you will be traveling.
5. Calculate the Required Yellow Distance and the Actual Yellow Distance.
RYD = (width of intersection) + (17 feet) = (Stopping Distance [see chart])
AYD = (Duration of the yellow light in seconds) * (Speed limit in ft/sec)
6. Arrive at your conclusion:
If the Actual Yellow Distance (AYD) is greater than or equal to the Required Yellow Distance (RYD), then the light
is properly timed and there is no dilemma zone.
If the Actual Yellow Distance (AYD) is less than the Required Yellow Distance (RYD) then the difference is equal
to the length of the dilemma zone. The light is improperly timed and should be yellow for an amount of time
equal to the (Required Yellow Distance in feet)/ (Speed limit in ft/sec).

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