Speed - 30.3 | 9. Fundamental parameters of traffic flow | Transportation Engineering - Vol 2
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Listen to a student-teacher conversation explaining the topic in a relatable way.

Introduction to Speed

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0:00
Teacher
Teacher

Today, we explore 'Speed' in our traffic flow analysis. Speed essentially determines how fast vehicles move on the roads. Can anyone tell me what speed means?

Student 1
Student 1

Isn't speed just how fast something goes?

Teacher
Teacher

Exactly! Mathematically, we express speed as distance over time. We can remember the formula as v = d/t. Who can tell me any different types of speed?

Student 2
Student 2

Is one of them spot speed?

Teacher
Teacher

Yes, spot speed is the speed of a vehicle at a particular point in time. It’s crucial for road design. Remember S for 'Spot speed' and 'Specific location.'

Types of Speed

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Teacher
Teacher

Now, let's look at different types of speed. We have running speed, journey speed, time mean speed, and space mean speed. First, what’s running speed?

Student 3
Student 3

Running speed is the average speed while the vehicle is moving?

Teacher
Teacher

Correct! It's calculated by dividing the length of the course by the time taken. How about journey speed?

Student 4
Student 4

Isn't that the speed from one point to another, including stops?

Teacher
Teacher

Absolutely! If journey speed is less than running speed, that indicates stop-and-go conditions. Prompting us to remember J for 'Journey speed' and 'Journey with stops.'

Mean Speed Concepts

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0:00
Teacher
Teacher

Next, what about time mean speed? Can anyone explain it?

Student 1
Student 1

Is it the average speed of vehicles at a point over time?

Teacher
Teacher

Exactly! And how does it differ from space mean speed?

Student 2
Student 2

Space mean speed is the average speed of vehicles over a stretch of road?

Teacher
Teacher

Correct! Remember T for 'Time mean speed' and 'Measurement at a point.' Now, why do we think these mean speeds are essential?

Student 3
Student 3

It helps us understand traffic conditions and improve road safety, right?

Teacher
Teacher

Great connection! Let's summarize: Understanding speed types aids in effective traffic management.

Introduction & Overview

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Quick Overview

Speed is a critical aspect of traffic flow, defined as the rate of motion expressed as distance per unit time. Various types of speed, including spot speed, running speed, and journey speed, provide insights into traffic behavior.

Standard

This section discusses speed as a quality measurement of traffic, elaborating on its definition as distance over time. It categorizes speed into several types, such as spot speed, running speed, journey speed, time mean speed, and space mean speed, and explains how each contributes to understanding traffic dynamics.

Detailed

Speed in Traffic Flow

In traffic flow analysis, speed is a key measure that significantly affects the journey experience for drivers and passengers. It is defined mathematically as the distance traveled per unit of time:
v = d / t (where v is speed, d is distance, and t is time).

Speed can vary based on both time and space, and hence various forms of speed are identified:
1. Spot Speed: The instantaneous speed of a vehicle at a specific location, useful for road design and accident analysis.
2. Running Speed: The average speed maintained over a particular stretch while the vehicle is in motion, calculated by dividing the course length by the travel time.
3. Journey Speed: The average speed for a journey between two points, including stops, highlighting the impact of stop-and-go conditions.
4. Time Mean Speed: The average speed of all vehicles passing a point over a specified time.
5. Space Mean Speed: The average speed of vehicles occupying a given road section over time.

Understanding speed and its various types provides insights into traffic flow, helping engineers optimize road design and enhance safety.

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Definition of Speed

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Speed is considered as a quality measurement of travel as the drivers and passengers will be concerned more about the speed of the journey than the design aspects of the traffic. It is defined as the rate of motion in distance per unit of time. Mathematically speed or velocity v is given by,
v = d/t
where, v is the speed of the vehicle in m/s, d is distance travelled in m in time t seconds.

Detailed Explanation

Speed is a critical factor in traffic engineering because it directly impacts how drivers and passengers perceive their journey. It is defined as the distance traveled by a vehicle divided by the time taken to travel that distance. This can be expressed mathematically with the formula v = d/t, where:
- v represents speed (in meters per second, m/s),
- d is the distance covered (in meters),
- t is the time taken (in seconds).
This formula helps traffic engineers assess how fast vehicles are moving, enabling them to design roads better.

Examples & Analogies

Imagine you're driving on a highway and you keep track of how far you travel and how long it takes you. If you drive 120 meters in 4 seconds, your speed would be 30 meters per second. Just like when you time your run on a track, knowing your speed helps you understand and improve your journey.

Variation of Speed Types

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Speed of different vehicles will vary with respect to time and space. To represent these variations, several types of speed can be defined. Important among them are spot speed, running speed, journey speed, time mean speed and space mean speed.

Detailed Explanation

Different vehicles exhibit various speeds depending on the conditions of the road and traffic. To categorize these variations, traffic engineers define several types of speed:
- Spot Speed: The speed of a vehicle at a specific moment or location.
- Running Speed: The average speed of a vehicle only while it is moving and not when it's stopped.
- Journey Speed: The average speed of a vehicle during an entire trip, including stops.
- Time Mean Speed: The average speed of all vehicles passing a certain point over a specified time period.
- Space Mean Speed: The average speed of all vehicles in a specific length of road over time.
These distinctions are essential for accurate traffic analysis and road design.

Examples & Analogies

Think of a delivery driver. The spot speed indicates how fast they’re going when checked at a specific moment, whereas the running speed is how fast they travel while the vehicle is actually moving, excluding any time spent at traffic lights or in traffic jams. The journey speed gives an overall view of how efficient their deliveries are, including time spent unloading. In a typical time of commuting, you might find your time mean speed is higher during morning rush hours when more cars are out, but the space mean speed might indicate slower traffic due to congested conditions down the street.

Spot Speed

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Spot speed is the instantaneous speed of a vehicle at a specified location. Spot speed can be used to design the geometry of road like horizontal and vertical curves, super elevation etc. Location and size of signs, design of signals, safe speed, and speed zone determination, require the spot speed data.

Detailed Explanation

Spot speed reflects how fast a vehicle is traveling at a specific point on the road at any given moment. Engineers collect data on spot speed to make various decisions regarding road design, such as creating safe curves, adjusting elevation to manage water drainage, positioning signage effectively, and determining speed limits. Knowing the spot speed helps officials assess if roads are being used safely and effectively.

Examples & Analogies

Imagine you are measuring how fast cars are traveling as they pass a certain traffic light on your way to school. By knowing the spot speed of vehicles at that point, city planners can decide how to improve safety in that area—perhaps by adding a speed limit sign or modifying the traffic signal to accommodate rush hours.

Running Speed

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Running speed is the average speed maintained over a particular course while the vehicle is moving and is found by dividing the length of the course by the time duration the vehicle was in motion.

Detailed Explanation

Running speed is calculated when a vehicle is in motion but does not account for any stops that occur during a trip. To calculate it, you take the total distance traveled and divide it by the amount of time spent moving, giving a clear picture of how efficiently the vehicle operates on the road without interruptions. This measure is vital for understanding how road conditions might affect travel time in real scenarios.

Examples & Analogies

Consider a cyclist who rides 2 kilometers on an open road in 5 minutes without stopping. Their running speed would be 2 km divided by 5 minutes, giving you a better insight into how fast they're going when the road is clear compared to when they might have to stop at traffic signals.

Journey Speed

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Journey speed is the effective speed of the vehicle on a journey between two points and is the distance between the two points divided by the total time taken for the vehicle to complete the journey including any stopped time.

Detailed Explanation

Journey speed gives an overall representation of how fast a vehicle travels between two locations, factoring in all stops, such as traffic lights and delays. To determine journey speed, measure the total distance between the start and end points and then divide that distance by the total time (moving plus stopped time). This speed often varies significantly from running speed, especially in busy traffic situations.

Examples & Analogies

Imagine you are driving from your house to a friend's house across town. The trip takes you 30 minutes in total, which includes 10 minutes waiting at traffic lights. If the distance is 10 kilometers, your journey speed would be 10 km ÷ 30 minutes. This helps you understand that despite how fast you could go on the straight stretches, real-world driving involves a lot of stopping.

Time Mean Speed and Space Mean Speed

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Time mean speed is defined as the average speed of all the vehicles passing a point on a highway over some specified time period. Space mean speed is defined as the average speed of all the vehicles occupying a given section of a highway over some specified time period. Both mean speeds will always be different from each other except in the unlikely event that all vehicles are travelling at the same speed.

Detailed Explanation

Time mean speed is calculated based on the speed of vehicles as they pass a certain point on a road within a set timeframe. In contrast, space mean speed takes into account the speed of vehicles within a specific section of road over time. These two measurements typically yield different results, as they assess speed from different perspectives—one from the standpoint of time at a specific point and the other based on space across a section of road.

Examples & Analogies

Think of a concert venue where cars are arriving at different times. If you measure how fast cars are arriving at the gate, you'll find the time mean speed for that specific moment. However, if you look at how vehicles are distributed across the parking lot at that moment, that gives you the space mean speed. This distinction helps manage parking and ensures everyone gets in smoothly.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Speed: The rate of motion expressed as distance per unit time.

  • Spot Speed: Instantaneous speed at a specific location.

  • Running Speed: Average speed maintained while moving.

  • Journey Speed: Effective speed of a journey, including stoppages.

  • Time Mean Speed: Average speed of vehicles at a point over time.

  • Space Mean Speed: Average speed of vehicles occupying a highway section over time.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • Example of spot speed: A vehicle's speed recorded at a speed limit sign.

  • Example of running speed: A car maintaining a consistent speed on a straight highway.

  • Example of journey speed: The total time taken on a road trip including breaks.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • Speed is a measure, quick and fast, distance and time, they can't be surpassed.

📖 Fascinating Stories

  • Imagine a car accelerating down a highway. The faster you go, the less time you spend on your journey, showing speed keeps you moving efficiently.

🧠 Other Memory Gems

  • Remember 'SRJTS' for Speed, Running Speed, Journey Speed, Time Mean Speed, Space Mean Speed.

🎯 Super Acronyms

S for Speed, R for Running Speed, J for Journey Speed, T for Time Mean Speed, S for Space Mean Speed.

Flash Cards

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Glossary of Terms

Review the Definitions for terms.

  • Term: Speed

    Definition:

    The rate of motion calculated as distance traveled per unit of time.

  • Term: Spot Speed

    Definition:

    The instantaneous speed of a vehicle at a specified location.

  • Term: Running Speed

    Definition:

    The average speed of a vehicle maintained over a particular course while it is moving.

  • Term: Journey Speed

    Definition:

    The effective speed of a vehicle over a journey, including any stopped time.

  • Term: Time Mean Speed

    Definition:

    The average speed of all vehicles passing a point on a highway over a specified time period.

  • Term: Space Mean Speed

    Definition:

    The average speed of all vehicles occupying a given section of a highway over a specified time period.