Answer:
(C) 16 radians
Explanation:
The angular displacement is given by the following equation:
[tex]\Delta \theta=\omega_i t+\frac{1}{2}\alpha t^2[/tex]
Here
[tex]\Delta \theta[/tex] Is the angular displacement of the body at the indicated time (t).
[tex]\omega_i[/tex] Is the angular velocity of the body at the initial moment.
[tex]\alpha[/tex] Is the angular acceleration of the body.
The disk starts from rest, so [tex]\omega_i=0[/tex]
Replacing the given values:
[tex]\Delta \theta=\frac{1}{2}(2\frac{radians}{s^2})(4s)^2\\\Delta \theta=16 radians[/tex]
