spot speed study
TRANSCRIPT
Abstract
This study was conducted to see if current speed enforcement was enough to keep people driving the speed limit.
It was requested by Eng. Dana Abdayyeh , the Supervisor of Traffic laboratory in Al-Ahliyya Amman University (AAU).
It was requested on March / 8 / 2015
The investigation was done by creating a speed trap and recordinghow long it took cars to go through the speed trap. Using some calculations, the times were then converted into speeds and graphed to allow for easier analysis
The main findings were that 40% of the drivers who were timed were driving more than 6 km/h above the 60 km/h limit.
It was concluded that current law enforcement is not enough to get people to obey the speed limit on Yagoz Road.
Even if the experiment yielded some pretty conclusive data, it
should be repeated under different road and weather conditions
using something more accurate than a stop watch and something not
as noticeable as a group of people standing on the sidewalk in
order to get more accurate data.
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Contents Page
Section..................................................
......................Page Number
Introduction.............................................................................1
Equipment...............................................................................1
Methodology...........................................................................1
Results ....................................................................................2
Discussion...............................................................................3
conclusion...............................................................................5
References...............................................................................5
Appendices...............................................
..............................6
List of Figures
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1.Diagram showing the proper way to set up the experiment Fig(1) ...............................2
2. Relative frequency distribution of vehicles’ speed .Fig(A1)..............................................6
3. curve showing the distribution of vehicles’ speed. Fig(A2) …………………………………………...6
4. vehicles’speed vs. cumulative frequency. Fig(A3) …………..………………….7
5. Study area location. Fig(2) ………………………………………………10
List of Tables
1. Key information about the data.Table1...................................................................3
2. Data table with speed groups, time groups and frequency .Table A1……………….…..8
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1.Introduction
The purpose of this lab was to see if current speed limit
enforcement is enough to keep drivers going the speed limit.
To do this, cars were timed going through a 100-m long speed
trap. The resulting times were then used to find the average
speed of cars.
The data was gathered using the experiment described in
Experimental Methodology in Section 3. The data that was
gathered is shown in Results and Description in Section 4 and
discussed in Discussion in Section 5. An overview of the
experiment and a conclusion can be found in the Conclusion in
Section 6.
2.Equipment
This experiment only required a stop watch, a measuring
device, and something used to mark the sidewalk. It also
needed 3 people to run as smoothly as possible: a flagger, a
timer, and a recorder.
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3.Methodology
First off, a 100 m long speed trap was measured and marked on
the sidewalk. A diagram of the proper setup is shown in Figure
1 at the next page. The flagger stood at the beginning of the
speed trap and signaled to start the stop watch whenever a car
drove by. The timer, who stood at the other end of the speed
trap, had to use the stop watch to time how long it took for
each car to cross the speed trap. The recorder marked all the
times on the field sheet in order to find out the speed. This
process was repeated many times to ensure good data. The
experiment was performed under cloudy weather and dry roads
from roughly 8 PM to 10 PM on March 11th, 2015 along Eastbound
Yagoz Road which is a 60 km/h zone.times
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Figure 1: Diagram showing the proper way to set up the
experiment.
4. Results and Descriptions
All the times recorded were written down on the field sheet
where they were converted from time groups into speed groups
using the calculations shown in Equation 1.
speed(km/h)=DistanceTime =
100mtsec
∗1km
1000m ∗3600sec
1hour
Equation 1: Conversion of time into speed
The complete set of gathered data can be seen in Table A1 in
Appendix A and in Figure A1, A2 and A3. Table A1 shows the
frequency of each speed group while Figure A1 and A2 show the
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graphs of frequency distribution and Figure A3 shows the
cumulative frequency. Other information such as mean, estimated
standard deviation , calculated standard deviation and estimated
standard error were calculated using Equation B1, B2, B3 and B4
in Appendix B and charted in Table 1.
Table 1: Key information about the data.
Data Information
Pace
50-60
km/h
Median 50 km/h
Mode 47.5 km/h
Mean 55.2 km/h
85th percentile
66.875
km/h
15th percentile 35.6 km/h
Estimated standard
deviation 15.6 km/h
Calculated standard
deviation
15.3
km/h
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Estimated standard
error
1.14 km/h
5. Discussion
One thing that the data clearly shows is that most drivers
care about the speed limit that evening. This is easily seen when
one looks at the mean, mode and median, all of which are less
than the 60 km/h speed limit. Although the mean of the data was
less than the speed limit, the data still followed a somewhat
normal distribution with a little skew to the left The data
followed a normal pattern with 26% of its points located in the
pace between 50 km/h and 60 km/h. One can also see from the
cumulative frequency graph that about 60% of drivers respected
the 60 km/h speed limit that evening. The data does not show much
dispersion except a few outliers. Although the speeds would be
much higher, meaning that most car speeds would cluster around
the mode of the data with minimal dispersion and few outliers.
This is due to the fact that in both cases there was not anything
near such as traffic, stoplights or pedestrians that would
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require drivers to stop causing more dispersion. If the same
experiment had been conducted on a random Saturday down High
Street with average traffic, pedestrians and many stop lights,
one could assume that there would be much more dispersion and
inconsistency in the data.
Although the experiment gathered some good data, it could
have been much more accurate if human error would have been taken
out of it. If the experiment had some kind of sensor instead of a
flagger and a timer armed with a stop watch, the data could be
much more accurate and it would rid itself of error due to human
error and reaction time. Another way to get more accurate data
would be to make the data gathering process a little bit more
discreet as to not let the drivers know they are being timed.
Some drivers either accelerated or slowed down when they saw that
they we being timed throwing off our data in the process. One way
to fix this would be once again using small sensor or spreading
out the groups and the group members to make it less obvious to
the driver that they are being timed. The way this experiment was
carried out gave good data but not complete data. Since it was
conducted under cloudy weather and the road was dry when the
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experiment was done, we only have data for cloudy days with dry
roads. Also, we only have data for the hour between 8 PM and 10
PM. People’s driving tendencies might be affected a lot by
different things such as the road condition, the time of day and
the weather. In order to get a very complete and accurate set of
data, the experiment would need to be carried out a few more
times under different road conditions, weather conditions and at
different times of the day.
6. Conclusions
The way this experiment was carried out gave good data but
not complete data. Since it was conducted under cloudy
weather and the road was dry when the experiment was done,
we only have data for cloudy days with dry roads. Also, we
only have data for the hour between 8 PM and 10 PM.
People’s driving tendencies might be affected a lot by
different things such as the road condition, the time of
day and the weather. In order to get a very complete and
accurate set of data, the experiment would need to be
carried out a few more times under different road
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conditions, weather conditions and at different times of
the day.
7. References :
Garber and Hoel -Traffic and Highway Engineering-4th ED
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Appendix A Figures and Charts
0%2%4%6%8%
10%12%14%16%18%
Speed (km/h)
Freq
uenc
y
Figure (A1): Relative frequency distribution of vehicles’ speed.
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Figure (A2): curve showing the distribution of vehicles’ speed.
20 30 40 50 60 70 80 90 100 1100%
20%
40%
60%
80%
100%
120%
Speed (km/h)
Cumu
lative
frequ
ency
Figure (A3): vehicles’speed Vs cumulative frequency.
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Table A1: Data table with speed, time and frequency groups.
SpeedGroup(km/h)
Mid valueSpeed(km/h) Frequency
Percentage
Cumulative
25 -30 27.5 2 1% 1% 30 – 35 32.5 6 4% 6%35 – 40 37.5 12 9% 14%40 – 45 42.5 15 11% 25%45 – 50 47.5 23 16% 41%50 – 55 52.5 20 14% 56%55 – 60 57.5 17 12% 68%60 – 65 62.5 14 10% 78%65 – 70 67.5 12 9% 86%70 – 75 72.5 9 6% 93%75 – 80 77.5 0 0% 93%80 – 85 82.5 2 1% 94%85 – 90 87.5 0 0% 94%90 – 95 92.5 5 4% 98%95 – 100 97.5 0 0% 98%100 – 105 102.5 3 2% 100%
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Appendix BEquations and Sample Calculations
Mean Calculation: x=∑ nisi
N(B1)
ni=Frequencyof observations∈groupi
si=Middlespeedofgroupi∈mph
N=Totalnumberofobservations
x=2∗27.5+6∗32.5+12∗37.5+15∗42.5+23∗47.5+20∗52.5+17∗57.5+14∗62.5+12∗67.5+9∗72.5+2∗82.5+5∗92.5+3∗102.5
114
x=55.2km/h
Estimated Standard Deviation: sest=P85−P15
2(B2)
P85=85thpercentile
P15=15thpercentile
Sest=66.875−35.6
2
Sest=15.6km/h
Calculated Standard Deviation: S=√∑ (xi−x)2
N−1(B3)
S=√2(27.5−39.7)2+6(32.5−39.7)2+15 (42.5−39.7)2+23(47.5−39.7)2+20(52.5−39.7)2+17(57.5−39.7)2+ ¿114−1 ¿
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14(62.5−39.7)2+12(67.5−39.7)2+9(72.5−39.7)2+2(82.5−39.7)2+5(92.5−39.7)2+3(102.5−39.7)2
❑
S=15.3km/h
Estimated error (E): E= S√N
(B4)
E=15.3√140
=1.14km/h
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