Cantidades Rotacionales Básicas

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Angular Velocity

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Description of RotationRotation is described in terms of angular displacement , time , angular velocity , and angular acceleration . Angular velocity is the rate of change of angular displacement and angular acceleration is the rate of change of angular velocity. The averages of velocity and acceleration are defined by the relationships: where the Greek letter delta indicates the change in the quantity following it.

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Rotation EquationsThese rotation equations apply only in the case of constant angular acceleration. It is assumed that u=0 at t=0 and that the motion is being examined at time t. angular displacement = average angular velocity x time angular velocity = initial angular velocity + ang. acceleration x time ang. displacement = initial ang. velocity x t + ang. accel. x time 
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Comments on Rotation CalculationIn the example rotation calculation, some assumptions are made about the calculation order. The rotation equations represent a complete set of equations for constant angular acceleration rotations, but in certain types of problems, intermediate results must be calculated before proceeding to the final calculation. In the example calculation, you may have to do intermediate calculations, e.g., to establish the final angular velocity, in order to set up the problem you wish to solve, just as if you were working the problem with calculator and paper. In the example calculation, the time, initial angular velocity, and displacement were considered given (primary) unless they were being calculated (e.g., in calculating a). If u is being calculated, then v is assumed given, so it must be calculated first if you want to specify a. If initial angular velocity is being calculated, then v is presumed given. If time is being calculated then a is presumed given. 
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