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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.(a) R(b) πR(c) 2πR(d) 0The 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

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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