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Macroscopic Traffic Density Formula

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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. Check FAQs

K c = \frac{Q i}{\frac{V m}{0.277778}}

K_c - Traffic Density in vpm?Q_i - Hourly Flow Rate in vph?V_m - Avg. Travel Speed?

Macroscopic Traffic Density Example

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Here is how the Macroscopic Traffic Density equation looks like with Values.

Here is how the Macroscopic Traffic Density equation looks like with Units.

Here is how the Macroscopic Traffic Density equation looks like.

33.3334 = \frac{1000}{\frac{30}{0.277778}}

33.3334 = \frac{1000}{\frac{30km/h}{0.277778}}

33.3334 = \frac{1000}{\frac{30}{0.277778}}

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Macroscopic Traffic Density Solution

Follow our step by step solution on how to calculate Macroscopic Traffic Density?

FIRST Step Consider the formula

K c = \frac{Q i}{\frac{V m}{0.277778}}

Next Step Substitute values of Variables

∴

K c = \frac{1000}{\frac{30km/h}{0.277778}}

Next Step Convert Units

∴

K c = \frac{1000}{\frac{8.3333m/s}{0.277778}}

Next Step Prepare to Evaluate

∴

K c = \frac{1000}{\frac{8.3333}{0.277778}}

Next Step Evaluate

∴

K c = 33.33336

LAST Step Rounding Answer

∴

K c = 33.3334

Macroscopic Traffic Density Formula Elements

Variables

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.

Symbol: K_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Traffic Density in vpm

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.

Symbol: Q_i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hourly Flow Rate in vph

Avg. Travel Speed

Avg. Travel Speed is the average of the speed of all the vehicles passing through the lane in one hour.

Symbol: V_m

Measurement: SpeedUnit: km/h

Note: Value should be greater than 0.

Formulas to find Avg. Travel Speed

Other formulas in Industrial Parameters category

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ρ = \frac{λ a}{µ}

Go Reorder Point

RP = DL + S

Go Learning Factor

k = \frac{\log 10 (a 1) - \log 10 (a n)}{\log 10} (n tasks)

How to Evaluate Macroscopic Traffic Density?

Macroscopic Traffic Density evaluator uses Traffic Density in vpm = Hourly Flow Rate in vph/(Avg. Travel Speed/0.277778) to evaluate 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 K_c symbol.

How to evaluate Macroscopic Traffic Density using this online evaluator? To use this online evaluator for Macroscopic Traffic Density, enter Hourly Flow Rate in vph (Q_i) & Avg. Travel Speed (V_m) and hit the calculate button.

FAQs on Macroscopic Traffic Density

What is the formula to find Macroscopic Traffic Density?

The formula of Macroscopic Traffic Density is expressed as Traffic Density in vpm = Hourly Flow Rate in vph/(Avg. Travel Speed/0.277778). Here is an example- 33.33336 = 1000/(8.33333333333333/0.277778).

How to calculate Macroscopic Traffic Density?

With Hourly Flow Rate in vph (Q_i) & Avg. Travel Speed (V_m) we can find Macroscopic Traffic Density using the formula - Traffic Density in vpm = Hourly Flow Rate in vph/(Avg. Travel Speed/0.277778).

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