Question

A wheel starts rotating from rest with uniform angular acceleration.After 3.0,its completes one revolution.Calculate a) angular velocity after 3.0s. b)angular acceleration c)angular velocity after completing d)time taken for second revolution

Answer 1

2•π•N = ε•t^2/2,
ε = 4•π•N/t^2 = 4•π•1/3^2 =1.39 rad/s^2
ω = ε•t =1.39•3 = 4.19 rad/s.
2•π•N1 = ε•t1^2/2,
t1 =sqrt(4•π•N1/ ε) = sqrt(4•π•2/ 1.39) = 4.25 s.