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Angular motion - Coggle Diagram

- - - - due to the centripetal force, and it acts radially inwards towards the center of the circle.
    - - an = v^2/r
      - an = r ω2
  - - - a = r*α
    - - the force that is tangent to the circumference of the circle, the force that pulls the point in perpendicular to the normal acceleration
- - - - 1) ωf = ωi + α t
      - 2) θf = θ¬I + ωi t + ½ α t2
      - 3) ωf2 = ωi2 + 2 α(θf - θ¬I)
    - - ωi = initial angular velocity [rad/s]
        
        ωf = final angular velocity [rad/s]
        
        α = angular acceleration [rad/s2]
        
        θi = initial angular displacement [rad]
        
        θf = final angular displacement [rad]
        
        t = time [s]
  - - - 1) v = u + a t
      - 2) s = so + u t + ½ a t2
      - 3) v2 = u2 + 2 a (s – so)
      - Linear acceleration = angular acceleration * radius of path
    - - Linear Displacement s, x, y, z Meters, m
      - Linear Velocity v= Δx/Δt Meters per seconds, m/s
      - Linear Acceleration a= Δv/Δt = d2x/dt2 Meters per seconds squared, m/s2
      - Time t Seconds, s
- - - - The change in position due to rotation on an axis, is measured in radians.
      - Formula
        
        s = r*θ
      - SI units
        
        Symbol
        
        θ
        
        units
        
        radians, rad
  - - - the rate of change in angular position of a rotating body
    - - symbol
        
        ω
      - units
        
        radians per seconds, rad/s
    - - v = r*ω
  - - - time rate of change of angular velocity
    - - Symbol
        
        α
      - units
        
        radians per seconds squared, rad/s^2
    - - a = (change in angular velocity) / (time interval)
      - at = r*angular acceleration, a
- - - - tangential acceleration = radius * angular acceleration
      - tangential velocity = angular velocity * radius