Are You Sure One And One Makes Two?

[JasonRox]

The whole chalk talk is from Isaac Asimov.

The book is Asimov on Numbers - Isaac Asimov.

He talk abouts a professor who says Mathematicians are maniacs of some sort, and he goes off to finish his case against the angry professor.

 

[BookWorm]

The whole chalk talk is from Isaac Asimov.

The book is Asimov on Numbers - Isaac Asimov.

He talk abouts a professor who says Mathematicians are maniacs of some sort, and he goes off to finish his case against the angry professor.

Yes, I have read it.

 

[Michael D. Sewell]

What made me post this thread is Newton's way of equalizing force - mass ratio with angular and linear acceleration at the same time despite the fact that the last have different qualities - units. Newton cannot make a difference between degrees and meters.

The units for linear acceleration are meters/sec^2
The units for angular acceleration are rad/sec^2

It is a simple matter to see how many meters an object travels along the circumference of a given circle if the radius of the given circle is known. This makes the relationship between radial acceleration and tangential acceleration apparent.

Acceleration is defined as a change in velocity over a time. Since velocity is a vector, there are two ways to produce acceleration: by a change in magnitude or by a change in direction. I don't see any flaws in Newton's laws here. The angular (radial) acceleration is perpendicular to the tangential acceleration.

The total acceleration is equal to the square root of (angular acceleration^2 + tangential acceleration^2)

For some reason, you seem to be intent on discrediting Newton. That's ok; because each time you are proven wrong, the students on this forum get a better understanding of classical physics during the course of the discussion. So in your own way, you are providing a valuable service to many people. If this is your purpose, than I would like to thank you for your contribution.
-Mike