Explain why an object that moves round complet circle will have angular displacement of 2pay radian but tangential displacement of 0m
To understand why an object that moves in a complete circle will have an angular displacement of 2π radians but a tangential displacement of 0 meters, let's break down these concepts:
1. Angular Displacement: Angular displacement measures the change in the angle of an object as it moves from one position to another. It is measured in radians, which is the SI unit for measuring angles. One complete circle is equal to 360 degrees or 2π radians.
2. Tangential Displacement: Tangential displacement refers to the straight-line distance between the initial and final positions of an object. It represents the actual distance covered by an object along the circular path.
When an object moves in a complete circle and returns to its starting position, the angular displacement would be 2π radians, as it has completed one full revolution or one complete circle. This occurs because one full revolution corresponds to an angle equal to 2π radians.
On the other hand, the tangential displacement would be 0 meters because the object ends up in the same location where it started. Although the object has gone through a complete circular path, there is no net change in its position in terms of distance traveled along the straight-line path. Therefore, the tangential displacement is zero.
So, despite completing a full circle, the angular displacement is 2π radians, representing the change in angle, while the tangential displacement is 0 meters, indicating that there is no change in position along the straight-line path.