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Rotational Motion question

2022 · 27 Jul · Shift 1 · Q71
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  5. /2022 · 27 Jul · Shift 1 · Q71

Rotational Motion question

2022 · 27 Jul · Shift 1 · Q71

JEE MainPhysicsRotational MotionNumerical+4 / −1
A pulley of radius 1.5 m1.5 \mathrm{~m}1.5 m is rotated about its axis by a force F=(12t−3t2)NF=\left(12 \mathrm{t}-3 \mathrm{t}^{2}\right) NF=(12t−3t2)N applied tangentially (while t is measured in seconds). If moment of inertia of the pulley about its axis of rotation is 4.5 kg m24.5 \mathrm{~kg} \mathrm{~m}^{2}4.5 kg m2, the number of rotations made by the pulley before its direction of motion is reversed, will be Kπ\frac{K}{\pi}πK​. The value of K is ‾\underline{\hspace{2cm}}​.
Numerical answer
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