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 0.689 and 0.770, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0.450 and 0.617. Vehicles of all types travel on the road, from small VW bugs weighing 1210 lb to large trucks weighing 8640 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: 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: ft maximum braking distance: Which factors affect the soundness of your decision? mph Precipitation from the fog can lower the coefficients of friction. ft

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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
0.689 and 0.770, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between
0.450 and 0.617. Vehicles of all types travel on the road, from small VW bugs weighing 1210 lb to large trucks
weighing 8640 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:
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:
ft maximum braking distance:
Which factors affect the soundness of your decision?
mph
Precipitation from the fog can lower the coefficients of friction.
ft
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 0.689 and 0.770, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0.450 and 0.617. Vehicles of all types travel on the road, from small VW bugs weighing 1210 lb to large trucks weighing 8640 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: 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: ft maximum braking distance: Which factors affect the soundness of your decision? mph Precipitation from the fog can lower the coefficients of friction. ft
Which factors affect the soundness of your decision?
Precipitation from the fog can lower the coefficients of friction.
Drivers cannot be expected to obey the posted speed limit.
Reaction time of the drivers is not taken into account.
Newton's second law does not apply to this situation.
Transcribed Image Text:Which factors affect the soundness of your decision? Precipitation from the fog can lower the coefficients of friction. Drivers cannot be expected to obey the posted speed limit. Reaction time of the drivers is not taken into account. Newton's second law does not apply to this situation.
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