Macroscopic Traffic Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Traffic Density in vpm = Hourly Flow Rate in vph/(Avg. Travel Speed/0.277778)
Kc = Qi/(Vm/0.277778)
This formula uses 3 Variables
Variables Used
Traffic Density in vpm - Traffic Density in vpm (vehicle per mile), is the average number of vehicles that occupy one mile or one kilometer of road space, expressed in vehicles per mile or per kilometer.
Hourly Flow Rate in vph - Hourly Flow Rate in vph is the number of vehicles moving on a line in a period of one hour.
Avg. Travel Speed - (Measured in Meter per Second) - Avg. Travel Speed is the average of the speed of all the vehicles passing through the lane in one hour.
STEP 1: Convert Input(s) to Base Unit
Hourly Flow Rate in vph: 1000 --> No Conversion Required
Avg. Travel Speed: 30 Kilometer per Hour --> 8.33333333333333 Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kc = Qi/(Vm/0.277778) --> 1000/(8.33333333333333/0.277778)
Evaluating ... ...
Kc = 33.33336
STEP 3: Convert Result to Output's Unit
33.33336 --> No Conversion Required
FINAL ANSWER
33.33336 <-- Traffic Density in vpm
(Calculation completed in 00.015 seconds)

Credits

Created by Kaki Varun Krishna
Mahatma Gandhi Institute of Technology (MGIT), Hyderabad
Kaki Varun Krishna has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2600+ more calculators!

10+ Industrial Engineering Calculators

Binomial distribution
Binomial distribution = Number of trials!*(Probability of success of a single trial^Specific outcomes within trials)*(Probability of failure of a single trial^(Number of trials-Specific outcomes within trials))/(Specific outcomes within trials!*(Number of trials-Specific outcomes within trials)!) Go
Normal distribution
Normal distribution = e^(-(Specific outcomes within trials-Mean of distribution)^2/(2*Standard Deviation of distribution^2))/(Standard Deviation of distribution*sqrt(2*pi)) Go
Poisson distribution
Poisson distribution = Mean of distribution^(Specific outcomes within trials)*e^(-Mean of distribution)/(Specific outcomes within trials!) Go
Single Exponential Smoothing
Smooth averaged forecast for period t = (Smoothing Constant*Previous observed value)+((1-Smoothing Constant)*Previous period forecast) Go
Expected number of customers in queue
Expected number of customers in the queue = (Mean arrival rate^2)/(Mean service rate*(Mean service rate-Mean arrival rate)) Go
Probability of customers exceeding a number
Probability of customers exceeding a number = Mean arrival rate*Exceeded number queuing theory/Mean service rate Go
Expected number of customers in system
Expected number of customers in the system = Mean arrival rate/(Mean service rate-Mean arrival rate) Go
Expected length of non-empty queue
Expected length of non-empty queue = Mean service rate/(Mean service rate-Mean arrival rate) Go
Forecasting Error
Forecasting error = Observed value at time t-Smooth averaged forecast for period t Go
Point r on line
Point r on a line = Point a+(Lambda*Point b) Go

Macroscopic Traffic Density Formula

Traffic Density in vpm = Hourly Flow Rate in vph/(Avg. Travel Speed/0.277778)
Kc = Qi/(Vm/0.277778)

What is the significance of Traffic Density?

Traffic Density is a measure of the proximity of other vehicles, a factor that influences freedom to maneuver and the psychological comfort of drivers.

How to Calculate Macroscopic Traffic Density?

Macroscopic Traffic Density calculator uses Traffic Density in vpm = Hourly Flow Rate in vph/(Avg. Travel Speed/0.277778) to calculate the Traffic Density in vpm, The Macroscopic Traffic Density formula is defined as the average number of vehicles that occupy one mile or one kilometer of road space, expressed in vehicles per mile or per kilometer. Traffic Density in vpm is denoted by Kc symbol.

How to calculate Macroscopic Traffic Density using this online calculator? To use this online calculator for Macroscopic Traffic Density, enter Hourly Flow Rate in vph (Qi) & Avg. Travel Speed (Vm) and hit the calculate button. Here is how the Macroscopic Traffic Density calculation can be explained with given input values -> 33.33336 = 1000/(8.33333333333333/0.277778).

FAQ

What is Macroscopic Traffic Density?
The Macroscopic Traffic Density formula is defined as the average number of vehicles that occupy one mile or one kilometer of road space, expressed in vehicles per mile or per kilometer and is represented as Kc = Qi/(Vm/0.277778) or Traffic Density in vpm = Hourly Flow Rate in vph/(Avg. Travel Speed/0.277778). Hourly Flow Rate in vph is the number of vehicles moving on a line in a period of one hour & Avg. Travel Speed is the average of the speed of all the vehicles passing through the lane in one hour.
How to calculate Macroscopic Traffic Density?
The Macroscopic Traffic Density formula is defined as the average number of vehicles that occupy one mile or one kilometer of road space, expressed in vehicles per mile or per kilometer is calculated using Traffic Density in vpm = Hourly Flow Rate in vph/(Avg. Travel Speed/0.277778). To calculate Macroscopic Traffic Density, you need Hourly Flow Rate in vph (Qi) & Avg. Travel Speed (Vm). With our tool, you need to enter the respective value for Hourly Flow Rate in vph & Avg. Travel Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!