Question

A wheel of a bicycle is free to rotate about a horizontal axis
as shown in fig. It is initially at rest. Imagine a line OP drawn
on it. By what angle would the line OP move in 2 s if it had a
uniform angular acceleration of 2.5 rad s 2.
(A) 5 rad
(B) 10 rad
(C) 15 rad
(D) 20 rad​

Answer 1

Answer:

For circular angular motion, the formula for angular displacement θ and angular acceleration α is

θ=ωt+

2

1

αt

2

orθ=0+

2

1

αt

2

where ω= initial velocity

or θ=

2

1

×(2)(10)

2

θ=100 radians

2π radian are covered in 1 revolution.

∴ 1 radian is covered is covered in

2π

1

revolution

or 100 radian are covered in

2π

100

revolution.

∴ Number of revolution=

3.14

50

=16