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Starting from rest a wheel rotates with uniform angular acceleration 2 $π$ rad s^-2. After 4s, if the angular acceleration ceases to act, its angular displacement in the next 4s is

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8 $π$ rad

16 $π$ rad

24 $π$ rad

32 $π$ rad

answer is D.

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Detailed Solution

In 4s, angular velocity
acquired $= αt = ω; ω = 2 π \times 4$
After 4s, $α$ → 0
hence ${θ=ωt}^{1} = 2 π \times 4 \times 4 = = 32 πrad$

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