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A cord is wound around the circumference...

A cord is wound around the circumference of a bicycle wheel (without tyre) of diameter `1 m`. A mass of `2 kg` is tied at the end of the cord and it is allowed to fall from rest. The weight falls `2 m` in `4 s`. The axle of the wheel is horizontal and the wheel rotates which its plane vertical. if `g = 10 ms^(-2)`, what is the angular acceleration of the wheel ?

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