Question

The wheel of a motor accelerated uniformly from rest rotates through 2.5 radians during the first second.Find the angle rotated in the next second.​

Answer 1

θ=ω₀t+1/2αt²
given:
θ=2.5 rad
ω₀=0;
t=1sec;
α=?
2.5=0xt+1/2α1²
α = 2x2.5
α=5rad/s²
Angle turned during the first 2 sec²:
1/2 α t²=1/2 x 5 x 2²=10 rad
Angle turned  during the 2nd second= 10 rad- 2.5rad=7.5 rad.