A pulley of radius \( 2 \mathrm{~m} \) is rotated about its axis by...

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A pulley of radius \( 2 \mathrm{~m} \) is rotated about its axis by a force \( \mathrm{F}=\left(20 \mathrm{t}-5 \mathrm{t}^{2}\right) \) newton (where \( t \) is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is \( 10 \mathrm{~kg} \mathrm{~m}^{2} \),
\( \mathrm{P} \) the number of rotations made by the pulley before its direction of motion if reversed, is :
(A) less than 3
(B) more than 3 but less than 6
W
(C) more than 6 but less than 9
(D) more than 9
[AIEEE-2011]
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