A Particle is Moving in a Circular Path of Radius R, Its Displacement After Half a Circle Would Be

By K Balaji|Updated : November 7th, 2022

(a) 2r

(b) πr

(c) 2πr

(d) 0

A particle is moving in a circular path of radius r, its displacement after half a circle would be 2r.

  1. A body moving in a circular motion is referred to as being in a circular motion.
  2. Displacement is defined as the smallest distance between the starting and ending points.
  3. Once the particle has traversed half of the circle, the displacement may be calculated with ease by determining the shortest distance between the starting point (A) and the ending point (B).
  4. After half-circle displacement, the diameter of the circle, or line AB, is the shortest path.
  5. As a result, the displacement following the completion of a half-circle is 2r, where r is the circle's radius.

Distance and displacement

  • While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."
  • Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
  • The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place. For instance, if an object shifts from location A to position B, its position changes. Displacement is the term used to describe this shift in an object's position.

Summary:-

A Particle is Moving in a Circular Path of Radius R, Its Displacement After Half a Circle Would Be

If a particle were to move in a circle with a radius of r, its displacement would be 2r after halfway around. Displacement is how far an object moves from its place whereas distance is how much ground an object has moved during motion

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