So the dimension of angular momentum is. Angular Momentum = Angular Velocity × Moment of Inertia . . dimension of Angular momentum = dimension of moment of inertia ×dimension of Angular velocity dimension of Angular momentum = dimension of moment of inertia × dimension of Angular velocity. angular momentum is rxp, where r is a radius (which has dimensions of length), and p is momentum. (mass) ( … . 5.3: Angular Momentum In Three Dimensions 4.3.1 Rigid-body kinematics in three dimensions 4.3.1 Rigid-body kinematics in three dimensions a / Performing the rotations in one order gives one result, 3, while reversing the order gives a different result, 5. The first part is the object's angular momentum found by using its own center of mass as the axis, i.e., the angular momentum the object has because it is spinning. . (2) And, Moment of Inertia, M.O.I = Mass × (Radius of Gyration) 2. ∴ The dimensional formula of Angular Velocity = M 0 L 0 T -1 . . Unit of Angular Momentum is Kg− m2/sec K g − m 2 / … . angular momentum = mv x r (perpendicular dist.) angular momentum = linear momentum (of object) x perpendicular distance (from origin to the object) where x stands for cross product. . . . Momentum, is mass time velocity, and velocity is a change in distance divided by a change in time (having dimensions of length divided by time).
(1) Since, Angular Velocity = Angular displacement × [Time] -1 = [M 0 L 0 T 0] [T] -1. Angular Momentum = mass*velocity*radius so its dimension will be [ ML^2T^(-1) ] (M is mass, L is length, T is time) The other part equals the angular momentum that the object would have with respect to the axis A if it had all its mass concentrated at and moving with its center of mass. Derivation.
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