I am a high schooler so I don't know a lot of fancy maths but I do know some of calculus and multiplication of vectors as dot or cross product. I am learning about Angular velocity. And I am confused that is the direction of angular velocity just a definition or has a physical significance. I looked and searched for this on the internet and several other places and of course, I found the answer but its too diverse as someone says that it is defined and others say that it has some significance. I was amazed and confused much more when I saw gyroscopes in action.
Here are some of the search work I did:
- Answer on Quora by Bibhusit Tripathy states that it has some significance
- Answer on Physics Stackexchange by The Ledge says that it's just a convention
And there are several other pages on the internet that I tried but this remains the same all over. So what I want is not only the answer but also its validity. Thanks and appreciation to anyone who answers or puts his/her effort into this question.
Many people were getting confused by what I mean by Physical Significance. Here's what I mean If a thing has physical significance then its effects will be real and you will be able to see them. As a force, although the force itself is not visible its effects are and that too in the same direction in which a force is said to be in. So a direction is real but a quantity assigned in that direction can be just to help us solve some problems or fix some glitches and it could very well be a mathematical trick like a pseudo force in an accelerated frame. Hence for this question, has the direction which is told to be the direction of angular velocity something physical that is happening in that direction? Like a motion, you can not say that a car is moving in $-X$ direction if it is moving in $+X$ direction if the coordinate system is already defined of course.
Everyone confused due to a lot of ambiguity in the question. Here's the final Edit and this is the actual question whose answer would be indirectly the answer to this entire title- Could we have defined the direction of Angular Velocity to any other direction if we had more options or let's say we had 4-dimensions reality?