phenomenon 18.31 Uniform circular motion is accelerated motion

open in the book · parts/03-classical-mechanics/01-kinematics.tex:906 · p. 728

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on definition 18.11 Acceleration ¶
- depends_on definition 7.26 Derivative of a function at a point ¶
  - depends_on definition 7.16 Limit ¶
    - depends_on definition 7.2 Absolute value ¶
    - depends_on definition 7.9 Real function ¶
      - depends_on definition 3.43 Map ¶
  - depends_on definition 7.9 Real function ¶ ↺
- depends_on definition 18.10 Velocity ¶
  - depends_on definition 7.26 Derivative of a function at a point ¶ ↺
  - depends_on definition 18.9 Position ¶
    - depends_on definition 18.7 Frame of reference ¶
      - depends_on definition 18.3 Particle ¶
    - depends_on definition 18.3 Particle ¶ ↺
  - depends_on definition 13.9 Tangent vector to a curve ¶
    - depends_on definition 13.8 Curve ¶
depends_on definition 18.27 Angular position, velocity and acceleration ¶
- depends_on definition 18.11 Acceleration ¶ ↺
- depends_on definition 18.9 Position ¶ ↺
- depends_on definition 18.10 Velocity ¶ ↺
proves proof ch:01-kinematics@proof-9 ¶

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`cites`	→	Horologium Oscillatorium sive de motu pendulorum ad horologia aptato demonstrationes geometricae	derived	parts/03-classical-mechanics/01-kinematics.tex:915
`cites`	→	Philosophiæ Naturalis Principia Mathematica	derived	parts/03-classical-mechanics/01-kinematics.tex:917
`depends_on`	→	Acceleration	declared	parts/03-classical-mechanics/01-kinematics.tex:918
`depends_on`	→	Angular position, velocity and acceleration	declared	parts/03-classical-mechanics/01-kinematics.tex:918
`depends_on`	←	Tangential and centripetal components	declared	parts/03-classical-mechanics/01-kinematics.tex:981
`proves`	←	ch:01-kinematics@proof-9	declared	parts/03-classical-mechanics/01-kinematics.tex:921