- #1
AlchemistK
- 158
- 0
I have been told by my teacher that the angle of rotation, namely theta cannot be considered as a vector, which is self explanatory as it does not follow the laws of vector algebra.
But then he said that a very very small angle (limit) can be considered as a vector because it has negligible effect on the vector mathematics, namely that vector a + vector b = vector b + vector a.
He also demonstrated the fact by rotating a book, and showed that theta is not a vector, but since a very small change in the angle will not have an effect, the small angle is considered an angle.
Hence = d"theta"/dx = [tex]\omega[/tex] (angular vecocity, which we know is a vector)
I do not understand how an angle, however small can be considered as a vector. Because no matter how much small you rotate something, that small change will effect the result even though it is tiny.
But then he said that a very very small angle (limit) can be considered as a vector because it has negligible effect on the vector mathematics, namely that vector a + vector b = vector b + vector a.
He also demonstrated the fact by rotating a book, and showed that theta is not a vector, but since a very small change in the angle will not have an effect, the small angle is considered an angle.
Hence = d"theta"/dx = [tex]\omega[/tex] (angular vecocity, which we know is a vector)
I do not understand how an angle, however small can be considered as a vector. Because no matter how much small you rotate something, that small change will effect the result even though it is tiny.