Question 22 Given a free flow speed of 70 mph, and an analysis volume (or flow rate) of 2,037 passenger car/hour/lane on a freeway, what is the speed in mph? (please compute an exact answer and report it with one decimal place)

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter4: Traffic Engineering Studies
Section: Chapter Questions
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**Question 22**

Given a free flow speed of 70 mph, and an analysis volume (or flow rate) of 2,037 passenger car/hour/lane on a freeway, what is the speed in mph? (Please compute an exact answer and report it with one decimal place)

[Answer Text Box]

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Explanation:

This question presents a scenario involving traffic flow on a freeway. It provides the "free flow speed," which is the speed vehicles travel at under low traffic density conditions, and asks you to compute the speed given a specific flow rate of cars per hour per lane. The flow rate is provided as 2,037 passenger cars/hour/lane.

To solve this, use traffic flow principles. The relationship between speed (v), flow rate (q), and density (k) in traffic flow theory is given by:

\[ q = k \cdot v \]

Where:
- \( q \) is the flow rate (cars/hour)
- \( k \) is the density (cars/mile)
- \( v \) is the speed (miles/hour)

Given:
- Free flow speed (\( v_f \)) = 70 mph
- Flow rate (\( q \)) = 2,037 cars/hour/lane

You will need to use this relationship to find the speed at the given flow rate, ensuring to report the final answer to one decimal place.
Transcribed Image Text:**Question 22** Given a free flow speed of 70 mph, and an analysis volume (or flow rate) of 2,037 passenger car/hour/lane on a freeway, what is the speed in mph? (Please compute an exact answer and report it with one decimal place) [Answer Text Box] --- Explanation: This question presents a scenario involving traffic flow on a freeway. It provides the "free flow speed," which is the speed vehicles travel at under low traffic density conditions, and asks you to compute the speed given a specific flow rate of cars per hour per lane. The flow rate is provided as 2,037 passenger cars/hour/lane. To solve this, use traffic flow principles. The relationship between speed (v), flow rate (q), and density (k) in traffic flow theory is given by: \[ q = k \cdot v \] Where: - \( q \) is the flow rate (cars/hour) - \( k \) is the density (cars/mile) - \( v \) is the speed (miles/hour) Given: - Free flow speed (\( v_f \)) = 70 mph - Flow rate (\( q \)) = 2,037 cars/hour/lane You will need to use this relationship to find the speed at the given flow rate, ensuring to report the final answer to one decimal place.
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