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Active vocabular | Speed and velocity | Motion with constant acceleration | Free-fall acceleration | Projectile motion | Active vocabulary | Active vocabulary | Active vocabulary | Relating the linear and angular characteristics | AFTER STUDYING THE TOPIC A STUDENT IS TO |


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angular acceleration average angular acceleration instantaneous angular acceleration — — — кутове прискорення середнє кутове прискорення миттєве кутове прискорення

Angular acceleration characterizes the rate of change of angular velocity, while linear acceleration characterizes the rate of change of linear velocity. There is average acceleration and instantaneousacceleration.

If the angular velocity of a rotating body is not constant, the body has an angular acceleration. Let and be the angular velocities at times t2 and t1, respectively. The average angular acceleration of the rotating body in the interval from t2 to t1, is defined as

where is the change in the angular velocity that occurs during the time interval ∆ t.

The (instantaneous) angular acceleration , is the limit of this quantity as ∆ t is made to ap­proach zero. Thus

Instantaneous angular acceleration equals the first derivative of angular velocity
with respect to time or the second derivative of the angular displacementwith respect to time

Unit of measurement of angular acceleration is the radiant per second-squared (rad/s2) or the revolution per second-squared (rev/s2).

Angular acceleration is an axial vector too. If the angular velocity increases along time, vectors of the angular acceleration and the angular velocity have the same direction. If the angular velocity decreases along time, vectors of the angular acceleration and the angular velocity have the opposite direction.


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Active vocabulary| In order to calculate angular acceleration it is enough to know the equation of rotational motion

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