To calculate the angular velocity of Stick A given the angular velocity of Stick C, it is important to recognize that all three connected rods (Sticks A, B, and C) share the same angular frequency. The relationship between linear velocity and angular velocity is expressed by the formula v = ωr, where v is linear velocity, ω is angular velocity, and r is the radius or distance from the pivot point. Thus, knowing the angular velocity of Stick C allows for the determination of Stick A's angular velocity, assuming they are connected at a pivot. The discussion emphasizes the importance of understanding the connection and geometry of the sticks in the calculation. This approach ensures accurate results in angular velocity calculations for interconnected rods.