Question

A particle is moving in a circular path of radius R .What will be the distance and displacement after one and half round.
please answer it fast?​

Answer 1

A particle is moving in a circular path of radius r the displacement after half a circle would be

1.Path '1' is the displacement as its shortest distance between start and end points.hence displacement in this case is 2r.where r is radius. According to your question, the body moves from point A to point B thereby completing half a revolution. ... Therefore it will be equal to the diameter or r+r=2r.

Answer 2

Distance is the total path covered by the body and is scalar, whereas displacement is the shortest distance between initial and final positive with the direction from the starting point to the ending point.

Distance covered of a moving body is always positive and can never be zero or negative

However, the displacement can be positive, negative or zero.

So for the particular problem half a revolution would imply a distance equal to half the circumference=pi*r

And displacement would be the shortest distance along the diameter =2*r

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Pratik Shaha, Design Engineer at Faurecia (2017-present)

Answered Apr 7, 2018

Distance will be 3.143×r units approx.. and displacement will be 2r.

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Ram Diwane, Love physics

Answered Mar 8, 2017

Originally Answered: A particle is moving in a circular path of radius R. What would the displacement after half a circle be?

Displacement is shortest distance between starting point and end.

When particle moves along half circle, it covers half the circumstance therefore distance covered is (2×pi×r)/2 = pi× r. Where r is radius of circle.

It is diametrically opposite to the starting point of its motion.

Therefore shortest distance is equal to diameter of circle or 2× r is a displacement.

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Shashank Shekhar

Answered Nov 27, 2017

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According to your question, the body moves from point A to point B thereby completing half a revolution. Since distance is the length of path covered therefore it will be equal to half the circumference i.e. 1/2 × 2pi r or pi × r. And the displacement is equal to the distance between initial and final point. Therefore it will be equal to the diameter or r+r=2r.

Sorry for poor handwriting. :P

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Muthusamy P, M.Sc. Retired as Head of Department of Physics. Government of Tamilnadu, lndia.

Answered Mar 26, 2018

Displacement is a vector. Hence it is not enough if one says that it is the shortest distance. One should say that it is the distance measured along a straight line from the initial to final point .

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