Angular Momentum = mass*velocity*radius so its dimension will be [ ML^2T^(-1) ] (M is mass, L is length, T is time) 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.
. angular momentum = linear momentum (of object) x perpendicular distance (from origin to the object) where x stands for cross product.
. Derivation. Unit of Angular Momentum is Kg− m2/sec K g − m 2 / … . 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. angular momentum is rxp, where r is a radius (which has dimensions of length), and p is momentum. (mass) ( … 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. 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. So the dimension of angular momentum is. . (2) And, Moment of Inertia, M.O.I = Mass × (Radius of Gyration) 2.
(1) Since, Angular Velocity = Angular displacement × [Time] -1 = [M 0 L 0 T 0] [T] -1.
. . 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). ∴ The dimensional formula of Angular Velocity = M 0 L 0 T -1 . . .
Angular Momentum = Angular Velocity × Moment of Inertia . angular momentum = mv x r (perpendicular dist.)
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