Question

a wheel which is initially at rest is subjected to an angular acceleration and it completes 10 rotations in time t. then the time take by it to complete the next 10 rotations is

Answer 1

Angular acceleration :

θ = 1/2 a t²

For 10 rotations :

10 × 2π = 1/2 a t²

a = 40 π/t² - - - - - - - - ( i )

As total rotations = 20, with the help of eq i

T² = 80 π/a

=2t²

T = √2 t

After 10 rotations = ( √2 - 1 ) t

Answer 2

Explanation:

a wheel which is initially at rest is subjected to an angular acceleration and it completes 10 rotations in time t. then the time take by it to complete the next 10 rotations is