Question

A cord is wound around the circumference of a bicycle wheel (without tyre) of diameter 1m. A mass of 2 kg 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 = 10 ms?)​

Answer 1

Answer:

0.5 rads -2

Explanation:

Correct option is

A

0.5 rads

−2

We first find the linear acceleration a by using the relation-

s=ut+

2

1

at

2

or

2=0+

2

1

×a×4

2

which gives a=

4

1

m/s

2

Now R=0.5 m.

The angular acceleration α is given by:

α=

R

a

=

4×0.5

1

=

2

1

=0.5 rad/s

2