A wheel , starting from rest, turns, through 360 rad with a constant angular acceleration of 5 rad/`s^(2)`. (i) what is its final angular velocity ? (ii) How much time elapses while it turns through the 360 radians ?

Explanation

Data : ` omega_(0) = 0 , theta = 360 rad, prop = 5 " rad/s"^(2)`
(i) ` omega^(2) omega_(0)^(2) + 2proptheta = 2 proptheta " " (therefore omega_(0)=0)`
(ii) ` theta = omega_(o) t + 1/2 prop t^(2) ( therefore omega_(0) =0) `
` t^(2) = (2theta)/prop = (2(360))/5 = 144 `
The required time interval, t =12 s