Answer:
[tex]\theta=57.14rad[/tex]
Explanation:
From the question we are told that:
Angular Velocity [tex]\omega=20rad/s[/tex]
Acceleration [tex]a=3.5rads/s^2[/tex]
Generally the equation for Angular velocity is mathematically given by
[tex]\omega_2^2=\omega_1^2+2 a \theta[/tex]
Therefore
[tex]20^2=0+2*2.5*\theta[/tex]
[tex]\theta=\frac{400}{2*3.5}[/tex]
[tex]\theta=57.14rad[/tex]
