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Question

# A cord is wound around the circumference of a bicycle wheel (without tyre) of diameter 1m. A mass of 2kg is tied to the end of the cord and it is allowed to fall from rest. The weight falls 2m in 4s. The axle of the wheel is horizontal and the wheel rotates with its plane vertical. The angular acceleration produced is:(take g=10ms−2)

A
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C
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D
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Solution

## The correct option is A 0.5 rads−2We first find the linear acceleration a by using the relation-s=ut+12at2or 2=0+12×a×42which gives a=14m/s2Now R=0.5 m. The angular acceleration α is given by:α=aR=14×0.5=12=0.5 rad/s2

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