Answer:
[tex]2.75\ rad/s^2[/tex]
Explanation:
[tex]\omega_i[/tex] = Initial angular velocity = 1.25 rad/s
[tex]\alpha[/tex] = Angular acceleration
[tex]\theta[/tex] = Angle of rotation = 8 rad
t = Time taken = 2 s
[tex]\theta=\omega_it+\frac{1}{2}\alpha t^2\\\Rightarrow 8=1.25\times 2+\frac{1}{2}\times \alpha\times 2^2\\\Rightarrow \alpha=\dfrac{2}{2^2}(8-1.25\times 2)\\\Rightarrow \alpha=2.75\ rad/s^2[/tex]
The angular acceleration of the rotor is [tex]2.75\ rad/s^2[/tex]
