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

What is the displacement of the centre of the wheel in one rotation? Let the radius of the wheel be R. Correct Answer 2πR

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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