CLS-29

Coriolis scale

Order of the Coriolis acceleration.

Reading speed

GoverningCoriolis scale

Governing equation

a=2\omega v

$v \in \left[1, 80\right]$

where

w: w (1/s)
v: v (m/s)
a: Coriolis scale (mm/s²)

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.

00:0 / 00:08

①

Governing law — red

a=2\omega v

$v \in \left[1, 80\right]$

$v = 1$ $a = 0.146$

Along the curve

②

Domain of the variable — blue

v_{\min} = 1,\quad v_{\max} = 80

$v \in \left[1, 80\right]$

$v = 1$ $v = 1$

Along the curve

③

Response curve — green

a=2\omega v

$v \in \left[1, 80\right]$

$v = 1$ $a = 0.146$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}a}{\mathrm{d}v}

$v \in \left[1, 80\right]$

$v = 1.497$ $a^{\prime} = 0.146$

Along the curve

Lecture brief

Historical brief

Newtonian mechanics (1687) plus energy, angular momentum, Kepler and the ballistic parabola remain the first language of motion. Every sheet here is a closed-form orbit, throw, spin or oscillator. This sheet (CLS-29 — Coriolis scale) is the form associated with Coriolis scale. Working symbols: $w$ , $v$ $\rightarrow$ $a$ . Order of the Coriolis acceleration. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

a

from

w

v

in Classical mechanics via

a=2\omega v

Order of the Coriolis acceleration. Use it when a real classical mechanics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

w = 7.290e-5\,\mathrm{1/s}

v = 20.000\,\mathrm{m/s}

, the governing relation

a=2\omega v

yields

a = 2.916\,\mathrm{mm/s^{2}}

. 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

w w0.0000729 1/sv v20 m/s

Outputs

Coriolis scale a2.916 mm/s²

Reading speed

Watch on YouTube

Free library

Full library

Free PDF / open book

YouTube channels

00:0 / 00:08

Narration of this film

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

Order of the Coriolis acceleration. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube