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)
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)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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22
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2d7e9b1-7208-47e7-acf1-5a4d04c3ff3b%2F9b73d48b-b57e-4d8a-9584-1b72763f04ad%2Fn82tzkq_processed.jpeg&w=3840&q=75)
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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