Final answer:
The reaction at point A is -9 rad/s.
Step-by-step explanation:
To determine the reaction at point A, we need to consider the angular velocity and angular acceleration. The angular velocity is given as 7 rad/s clockwise, and the angular acceleration is given as 16 rad/s² counterclockwise. Since the directions of angular velocity and angular acceleration are opposite, the reaction at point A will be the sum of these two values:
Reaction at A = Angular Velocity + Angular Acceleration
Reaction at A = 7 rad/s + (-16 rad/s²) = -9 rad/s
Therefore, the reaction at point A is -9 rad/s.