Rotation

• Rotation       - is the motion of the body turning about an axis/around where all particles of a body moves at a circular point.
         - each linear quantity has its equal rotational quantity.
  
  Example:
  1. Rotation of the Earth
  2. Propeller

*Rotation
Angular Quantities

d = θ         d = df - di

Degrees (°), radians, revolution, rotation, cycle
    360°      =    2π      =       1          =       1      =   1

1/2π = 90° ,  π = 180°  , 3/4π = 270°


θ = 2π    ,    C = 2π r ------------------> C =  θr

• Angular Quantities

           d = vt -----> θ = ϖt           Vf = Vi + at -------> Wf = Wi + αt

               V = (Vf + Vi)/2 --------> ϖ = (Wf - Wi)/2
           d = Vit + 1/2at² -------> θ = Wit + 1/2αt² 
           2ad = Vf² - Vi²--------> 2αd = Wf² + Wi²

• Uniform Circular Motion
     - A body in circular motion is accelerating
  
  Centripetal Acceleration                                                Centripetal Force 
         Acp = V²/r²                                                                    Fcp = mϖ²r
  
  Centrifugal Force
     - A force away from the center.
  
  
  
  
  
  
• Newton's Law of Universal Gravitation
     
  -Just by picking a part of a flower, you are moving the farthest star.
  
  F = Gm1m2/d²                                                                              Where:                                                                                                                                                                         G = Gravitaional Constant                                                                                                     m1 = mass                                                                                                                                                               d = distance                                                                                                                                                               F = Gravitational Force
  G = 6.67 * 10^-11   N.m²/kg2
  
  
  Isaac Newton compared the acceleration of the moon to the acceleration of objects on earth. Believing that gravitational forces were responsible for each, Newton was able to draw an important conclusion about the dependence of gravity upon distance. This comparison led him to conclude that the force of gravitational attraction between the Earth and other objects is inversely proportional to the distance separating the earth's center from the object's center. But distance is not the only variable affecting the magnitude of a gravitational force. Consider Newton's famous equation

  F_net = m • a

  Newton knew that the force that caused the apple's acceleration (gravity) must be dependent upon the mass of the apple. And since the force acting to cause the apple's downward acceleration also causes the earth's upward acceleration (Newton's third law), that force must also depend upon the mass of the earth. So for Newton, the force of gravity acting between the earth and any other object is directly proportional to the mass of the earth, directly proportional to the mass of the object, and inversely proportional to the square of the distance that separates the centers of the earth and the object.
  But Newton's law of universal gravitation extends gravity beyond earth. Newton's law of universal gravitation is about the universality of gravity. Newton's place in the Gravity Hall of Fame is not due to his discovery of gravity, but rather due to his discovery that gravitation is universal. ALL objects attract each other with a force of gravitational attraction. Gravity is universal. This force of gravitational attraction is directly dependent upon the masses of both objects and inversely proportional to the square of the distance that separates their centers. Newton's conclusion about the magnitude of gravitational forces is summarized symbolically as
  
  Since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force. So as the mass of either object increases, the force of gravitational attraction between them also increases. If the mass of one of the objects is doubled, then the force of gravity between them is doubled. If the mass of one of the objects is tripled, then the force of gravity between them is tripled. If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on.
  http://www.physicsclassroom.com/Class/circles/
  
  
• Law on Universal Gravitation and Weight 

                  Wt = G(mome)/d²                                                    Where:
                                                                                                  me = 5.98 * 10²⁴ kg

                   Note : Radius of the Earth is equal to 6380 km      

• States of Matter 

                *4 Kinds of Matter*
                      1. Solid - in terms of volume - definite
                  2. Liquid - in terms of volume - definite
                  3.Gas - in terms of volume - indefinite                  4. Plasma - in terms of volume - indefinite
          -Plasma is the most common state of matter in the universe.