A wheel of radius 1 𝑚 rolls forward half a revolution on a horizontal ground. The magnitude of the
displacement of the point of wheel initially in contact with the ground is

Question : A wheel of radius 1 𝑚 rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of wheel initially in contact with the ground is

(A) 2\pi

(B) \sqrt{2}\pi

(C) \sqrt{\pi ^{2}+4}

(D) \pi

Answer : option (C)

Solution :

A wheel of radius 1 𝑚 rolls forward half a revolution on a horizontal ground. The magnitude of the
displacement of the point of wheel initially in contact with the ground is
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