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Q.

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

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a

$16 π rad$

b

$24 π rad$

c

$32 π rad$

d

$8 π rad$

answer is D.

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Detailed Solution

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$ω = ω_{0} + α t = 0 + 2 π \times 4 = 8 π$

$θ = ω t = 8 π \times 4 = 32 π rad$

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