A particle is moving along a circular path of radius R the distance an...
Displacement is 0 since it returns again to d initial point.Distance is same as d circumference is 2πR..
A particle is moving along a circular path of radius R the distance an...
**Distance and Displacement of a Particle Moving along a Circular Path**
When a particle moves along a circular path of radius R, it completes one revolution when it returns to its initial position. The distance and displacement of the particle after one complete revolution can be determined as follows:
**Distance:**
The distance traveled by a particle is defined as the total length of the path covered by the particle. In the case of a circular path, the distance traveled by the particle after one complete revolution is equal to the circumference of the circle.
The circumference of a circle can be calculated using the formula C = 2πR, where R is the radius of the circle. Therefore, the distance traveled by the particle after one complete revolution is 2πR.
**Displacement:**
The displacement of a particle is defined as the change in position of the particle from its initial position to its final position. In the case of a circular path, the displacement of the particle after one complete revolution is zero.
To understand why the displacement is zero, consider the following:
- The particle starts at a certain point on the circular path.
- After completing one revolution, the particle returns to its initial position.
- Since displacement is defined as the change in position, and the particle ends up at its initial position, the displacement is zero.
Therefore, the displacement of the particle after one complete revolution along a circular path is zero.
In summary, after one complete revolution along a circular path of radius R:
- The distance traveled by the particle is 2πR.
- The displacement of the particle is zero.
It is important to note that distance is a scalar quantity, meaning it only considers the magnitude of motion, while displacement is a vector quantity, considering both magnitude and direction.
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