Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
| Beide Seiten der vorigen Revision Vorhergehende Überarbeitung | |||
| quest_for_perspective [2022/04/10 00:56] – akumar | quest_for_perspective [2022/04/12 11:36] (aktuell) – akumar | ||
|---|---|---|---|
| Zeile 14: | Zeile 14: | ||
| {{ : | {{ : | ||
| \\ | \\ | ||
| - | The question of whether the circular motion of an object can be seen as a form of motion on object on a straight line requires the introduction of a couple of concepts. The first concept is that of __periodic motion__, which enables circular motion to be represented as motion on a straight line. Periodic motion is defined as a type of motion that __repeats in regular intervals of time__. These regular intervals are specifically unvarying, uniform, and consistent spacings of time, which is called a __period__. As an object (like the __red point__ in the diagram above) moves in a circular path, it will repeat its movement after a particular interval of time, i.e. after some amount of time it will come back to where it started and then it will continue to move in its circular path. Therefore, we can create a relationship in the form of a mathematical __map__ that is called a __projection__ that takes the two-dimensional circular motion and places it onto the one-dimensional periodic motion, i.e. moving on a straight line back-and-forth between the two endpoints (an interval) that define the straight line. This second concept of a __projection__ is one we see in everyday life with light shining upon an object resting on the floor and then the object casts a shadow of itself onto the floor. This shadow is a one-dimensional version of the original object. The same can be said about an object moving in a circle to then be moving on a straight line--we are merely creating a shadow of the circular motion. | + | The question of whether the circular motion of an object can be seen as a form of motion on object on a straight line requires the introduction of a couple of concepts. The first concept is that of __periodic motion__, which enables circular motion to be represented as motion on a straight line. Periodic motion is defined as a type of motion that __repeats in regular intervals of time__. These regular intervals are specifically unvarying, uniform, and consistent spacings of time, which is called a __period__. As an object (like the __red point__ in the diagram above) moves in a circular path, it will repeat its movement after a particular interval of time, i.e. after some amount of time it will come back to where it started and then it will continue to move in its circular path. Therefore, we can create a relationship in the form of a mathematical __map__ that is called a __projection__ that takes the two-dimensional circular motion and places it onto the one-dimensional periodic motion, i.e. moving on a straight line back-and-forth between the two endpoints (an interval) that define the straight line. This second concept of a __projection__ is one we see in everyday life with light shining upon an object resting on the floor and then the object casts a shadow of itself onto the floor. This shadow is a two-dimensional version of the original |
| For further information please see:\\ | For further information please see:\\ | ||