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What is the displacement of the centre of the wheel in one rotation? Let the radius of the wheel be R.

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in Physics – Class 11 by (74.2k points)
What is the displacement of the centre of the wheel in one rotation? Let the radius of the wheel be R.

(a) R

(b) πR

(c) 2πR

(d) 0

The question was asked during an interview for a job.

Question is taken from Rolling Motion topic in division System of Particles and Rotational Motion of Physics – Class 11

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Best answer
The correct answer is (c) 2πR

The best I can explain: Let the time taken for one rotation be ‘T’. Let the angular speed of the wheel be ‘w’.                  w = 2π/T.

The velocity of the centre is Rw = R*2π/T.

∴ Distance moved by it = R*2π/T*T

= 2πR.

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