A cord is wound around the circumference of a bicycle wheel (without tyre) of diameter \( 1 \mat...

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