Final answer:
Torque is important because it determines how effectively a force can cause rotational motion. By considering force magnitude, direction, and point of application, torque allows for greater angular acceleration. Torque is analogous to force in linear motion and helps us analyze rotational motion.
Step-by-step explanation:
Torque is important because it determines how effectively a force can cause rotational motion. Torque depends on three factors: force magnitude, force direction, and point of application. When a force is applied farther from the axis of rotation, the torque is greater and can cause a larger angular acceleration. This is similar to how a door is easier to open when pushed farther from its hi-nges. Additionally, torque plays the same role in rotational motion that force plays in linear motion, allowing us to understand and analyze the motion of objects in motion.