Explain why an object that moves round a complete circle will have an angular displacement of 2¶ rad but tangential displacement of 0m
it ends up where it started, right?
And one revolution is 2pi radians.
As we know a complete circle is 360° which is equals with 2¶r this is an angular distance and also a complete circle refers to the moving object ended on the starting place
What is tangential displacement.
tangential displacment is the distance of an object moves in a straight line.
When an object moves in a complete circle, it undergoes both angular displacement and tangential displacement. Angular displacement refers to the angle through which an object rotates around a fixed point, while tangential displacement refers to the straight-line distance covered along the circumference of the circle.
To understand why the angular displacement is 2π radians and the tangential displacement is 0 meters, we need to consider a few key concepts:
1. Angular displacement: In a complete circle, an object starts from a specific position and returns to that position after completing the circle. The angle swept by the object is equal to the circumference of the circle divided by its radius. Since the circumference of a circle is 2π times its radius (C = 2πr), the object must have an angular displacement of 2π radians.
2. Tangential displacement: While the object undergoes the full angular displacement of 2π radians, the net movement of the object in a straight line is zero. This is because, at any given point on the circle, the object is moving tangentially to the circle, parallel to the circumference. As a result, the distance covered along the circumference is equal to one complete circle, which brings the object back to its starting point. Therefore, the tangential displacement is zero meters.
In summary, when an object moves around a complete circle, it has an angular displacement of 2π radians because it covers the entire circumference of the circle. However, its tangential displacement is zero meters because the object returns to its starting point, with no net movement in a straight line along the circumference.