A wheel of radius 0.5m rolls without sliding on a horizontal surface as shown. Starting from rest, the wheel moves with constant angular acceleration 6 rad/s2. The distance travelled by the center of the wheel from t = 0 to t = 3 s is:

Engineering

Physics

Rolling

Question

A wheel of radius 0.5m rolls without sliding on a horizontal surface as shown. Starting from rest, the wheel moves with constant angular acceleration 6 rad/s². The distance travelled by the center of the wheel from t = 0 to t = 3 s is:

27m

13.5m

zero

18m

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for CM
$s = ut + \frac{1}{2} {at}^{2} = 0 + \frac{1}{2} (αR) t^{2}$
$= \frac{1}{2}$ × 6 0.5 × 3² = 13.5 m

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