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Rotational Kinematics



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Physics    Newtonian Mechanics    Rotational Kinematics

Vector Relationships between Linear and Angular Variables:

The relationship between linear and angular variables are give as follows:




(i) Angular momentum of a particle about a given axis passing through origin is defined as:



where, ‘r’ is the radius of the path and ‘p’ is the linear momentum.

(ii) The angular momentum of a collection of particles is the sum of the angular momentum of
      each particle:



Here, Ri is the radius vector of ith particle and mi and Vi are the mass and velocity of the ith particle
respectively.

(iii) The time derivative of angular momentum is called torque:



Here F is the force acting on the system. Now requiring the system to be "closed" here is
mathematically equivalent to zero external torque acting on the system:



(iv)    Here, ‘r’ is the radius of the path, v is the linear velocity, and ω is the angular 
        velocity.

(v) Relation between position θ & displacement s given by:




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