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Q.

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

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a

$24 π r a d$

b

$32 π r a d$

c

$16 π r a d$

d

$8 π r a d$

answer is D.

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Detailed Solution

In 4s, angular velocity acquired $= αt = ω; ω = 2 π \times 4$ $= 8 π$
After 4s, $α$ → 0
Hence ${θ=ωt}^{1} = 2 π \times 4 \times 4 = 32 πrad$

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