ENV-42

ADT from counts

Simple expansion of an hourly count.

Reading speed

GoverningADT from counts

Governing equation

ADT=V\cdot F

$V \in \left[50, 4000\right]$

where

V: V (veh/h)
F: F (—)
ADT: ADT from counts (veh/d)

The figure, part by part

Each numbered marker wears the color of its card. Hover a card to light the marker. Tap a marker to jump to that card. The slider walks a red point along the curve; Animate drawing traces it like a pen.

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①

Governing law — red

ADT=V\cdot F

$V \in \left[50, 4000\right]$

$V = 50$ $ADT = 500$

Along the curve

②

Domain of the variable — blue

V_{\min} = 50,\quad V_{\max} = 4000

$V \in \left[50, 4000\right]$

$V = 50$ $V = 50$

Along the curve

③

Response curve — green

ADT=V\cdot F

$V \in \left[50, 4000\right]$

$V = 50$ $ADT = 500$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}ADT}{\mathrm{d}V}

$V \in \left[50, 4000\right]$

$V = 74.84$ $ADT^{\prime} = 10$

Along the curve

Lecture brief

Historical brief

Streeter–Phelps (1925) oxygen sag, settling theory and Guldberg–Waage kinetics made water and air quality a rate problem. The lab computes sag, overflow and a snapshot of reactor mass balance. This sheet (ENV-42 — ADT from counts) is the form associated with ADT from counts. Working symbols: $V$ , $F$ $\rightarrow$ $ADT$ . Simple expansion of an hourly count. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

ADT

from

V

F

in Environmental via

ADT=V\cdot F

Simple expansion of an hourly count. Use it when a real environmental question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

V = 800.000\,\mathrm{veh/h}

F = 10.000\,\mathrm{—}

, the governing relation

ADT=V\cdot F

yields

ADT = 8000.000\,\mathrm{veh/d}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

V V800 veh/hF F10 —

Outputs

ADT from counts ADT8000.000 veh/d

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Simple expansion of an hourly count. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube