Final answer:
When more force is applied through gear A, the angular velocity of gear B decreases.
Step-by-step explanation:
The angular velocity of gear B decreases in magnitude when more force is applied through gear A. This is because torque is created which causes a change in the angular velocity of gear B.
In rotational motion, the relationship between torque and angular acceleration is given by the equation:
τ = Iα
Where τ is the torque, I is the moment of inertia, and α is the angular acceleration. Since more force is applied through gear A, the torque increases. As a result, the angular acceleration of gear B decreases, which leads to a decrease in its angular velocity.