The wheel of a motor, accelerated uniformly from rest, rotates through 2.5 radian during the first second. Find the angle rotated during the next second.
As the angular acceleration is constant, we have
θ = ω0t + 12αt2 = 12αt2
Thus, 2.5 rad = 12 α (1s)2
α = 5 rad/s2
or α = 5 rad/s2
The angle rotated during the first two seconds is
= 12×(5rads2)(2s)2 = 10 rad.
Thus, the angle rotated during the 2nd second is 10 rad - 2.5 rad = 7.5 rad.