File:Academ Speed vectors about a boat in a flow.svg
Original file (SVG file, nominally 750 × 600 pixels, file size: 2 KB)
Captions
Captions
Summary
[edit]| Description |
English:
Flow speed of water (relative to terra firma)
Boat speed on water (relative to water)
Boat speed relative to terra firma
Any red arrow within the image represents the boat speed, not a force, although one of the red arrows is on the axis of symmetry of the boat. Without specifying travel times, we can consider displacements from one point to another during a same given duration. No matter what are the moving objects. For example, we can imagine a gadget moving on a conveyor, instead of a boat on a flow. A blue arrow represents the displacement of a point of the moving walkway relative to terra firma. A red arrow represents the displacement of the gadget on the conveyor. We can imagine the conveyor stopped during the whole travel of the gadget, and then the conveyor that carries the stopped gadget. It is also conceivable that the gadget begins to be stopped on the moving conveyor, and then moves on the stationary conveyor. The drawing shows how we can get the same arrival point of the gadget or of the boat relative to terra firma, regardless of the order of the two displacements. More generally, a vector addition is commutative, and the commutative group of translations of a space is a subgroup of the group of rigid motions.Français : Vitesse du courant (par rapport à la terre ferme)
Vitesse du bateau sur l’eau (par rapport à l’eau)
Vitesse du bateau par rapport à la terre ferme
N’importe quelle flèche rouge de l’image représente la vitesse du bateau, et non une force, bien que l’une des flèches rouges soit sur l’axe de symétrie du bateau. Sans préciser des temps de trajets, nous pouvons considérer des déplacements d’un point à un autre pendant une même durée donnée. Peu importe quels sont les objets en mouvement. Par exemple, on peut imaginer un gadget qui se déplace sur un tapis roulant, au lieu d’un bateau dans un courant. Une flèche bleue représente le déplacement d’un point du tapis roulant par rapport à la terre ferme. Une flèche rouge représente le déplacement du gadget sur le tapis. On peut imaginer le tapis arrêté pendant toute la course du gadget, et ensuite le tapis qui transporte le gadget arrêté. On peut aussi concevoir le gadget d’abord à l'arrêt sur le tapis en mouvement, puis se déplaçant sur le tapis immobile. Le dessin montre comment on peut obtenir le même point d'arrivée du gadget ou du bateau par rapport à la terre ferme, quel que soit l’ordre des deux déplacements. Plus généralement, une addition vectorielle est commutative, et le groupe commutatif des translations d’un espace est un sous-groupe du groupe des déplacements. |
| Date | |
| Source | Own work |
| Author | Yves Baelde |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:56, 31 March 2013 | | 750 × 600 (2 KB) | Baelde (talk | contribs) | better SVG code, better image |
| 04:31, 26 June 2012 |  | 625 × 500 (3 KB) | Baelde (talk | contribs) | to add a little piece of triangle in the upper right image | |
| 19:59, 25 June 2012 |  | 625 × 500 (3 KB) | Baelde (talk | contribs) | to improve a few details, notably by darkening the outline of the boat on its final position | |
| 06:38, 19 June 2012 |  | 625 × 500 (2 KB) | Baelde (talk | contribs) | namespace named xlink, not lk | |
| 05:56, 19 June 2012 |  | 625 × 500 (2 KB) | Baelde (talk | contribs) | Back to «use» of the first version. Why? Without elements with tagname «use» under Firefox, a small change of the window size may produce an unstable and unexpected display of some triangular holes, as in PNG images. | |
| 12:50, 18 June 2012 |  | 625 × 500 (3 KB) | Baelde (talk | contribs) | without xlink, new colour for the background, «stroke-linejoin="bevel" fill="none"» specified in a new element, instead of the root element | |
| 15:59, 8 September 2011 |  | 625 × 500 (2 KB) | Baelde (talk | contribs) | insisting fill="none" | |
| 15:54, 8 September 2011 |  | 625 × 500 (2 KB) | Baelde (talk | contribs) | {{Information |Description ={{en|1={{Legend|#04b|Flow speed of water (relative to terra firma)|css=border:0.2em solid #04b}} {{Legend|#d20|Boat speed on water (relative to water)|css=border:0.2em solid #d20}} {{Legend|#050|Boat speed relative to |
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