As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area (55 mph) is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility can reduce to only 155 ft. Since fog is a common occurrence in this region, you decide to investigate. The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges between 0.536 and 0.599, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0.350 and 0.480. Vehicles of all types travel on the road, from small VW bugs weighing 1310 lb to large trucks weighing 8.40 x 10° lb. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection. minimum braking distance: ft maximum braking distance: ft Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximum desired speed limit. maximum speed limit: mph Which factors affect the soundness of your decision? O Reaction time of the drivers is not taken into account. Gp t9 144 insert prt sc 080 backspace olo

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter3: Motion In Two Dimensions
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As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint
concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area (55 mph)
is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility
can reduce to only 155 ft. Since fog is a common occurrence in this region, you decide to investigate.
The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges
between 0.536 and 0.599, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges
between 0.350 and 0.480. Vehicles of all types travel on the road, from small VW bugs weighing 1310 lb to large trucks
weighing 8.40 x 10° lb.
Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum
and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before
reaching the intersection.
minimum braking distance:
ft
maximum braking distance:
ft
Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximum
desired speed limit.
maximum speed limit:
mph
Which factors affect the soundness of your decision?
O Reaction time of the drivers is not taken into account.
Gp
t9
144
insert
prt sc
080
backspace
olo
Transcribed Image Text:As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area (55 mph) is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility can reduce to only 155 ft. Since fog is a common occurrence in this region, you decide to investigate. The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges between 0.536 and 0.599, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0.350 and 0.480. Vehicles of all types travel on the road, from small VW bugs weighing 1310 lb to large trucks weighing 8.40 x 10° lb. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection. minimum braking distance: ft maximum braking distance: ft Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximum desired speed limit. maximum speed limit: mph Which factors affect the soundness of your decision? O Reaction time of the drivers is not taken into account. Gp t9 144 insert prt sc 080 backspace olo
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