What is the formula for calculating angular velocity of a rotating bar?

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To calculate the angular velocity of a rotating bar, one must sum the moments about the point of rotation when a constant force is applied. This moment is equal to the product of angular acceleration and moment of inertia. The angular velocity can then be determined by adding the initial velocity to the product of angular acceleration and time. Understanding these relationships is crucial for analyzing rotational motion. Accurate calculations require careful consideration of the forces and moments involved.
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If we have a bar AB which can rotate about A and there is a force applied on AB, make it rotate. Is there any formula for us to calculate the angular velocity of this bar?
 
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If the applied force is constant, sum the moments about the point of rotation. This value is equivalent to the product of the angular acceleration and the moment of inertia. The velocity of the rotating object will be the sum of its initial velocity and the acceleration x time.
 

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