Test Academy | A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be √(2gh/I+mr), √(2mgh/I+mr²), √(2mgh/I+2mr²), √(2gh)

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A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be

Options :

√(2gh/I+mr)
√(2mgh/I+mr²)
√(2mgh/I+2mr²)
√(2gh)

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