If angular velocity of a disc depends on an angle rotated as $\omega =({\theta }^2+\theta ),$ then its angular acceleration at $\theta =1$ rad is:-

Q. If angular velocity of a disc depends an angle rotated $\theta$ as $\omega ={\theta }^2+2\theta$, then its angular acceleration $\alpha$ at $\theta =1\text{rad}$ is

Q. If angular velocity of a disc depends an angle rotated $\theta$ as $\omega ={\theta }^2+2\theta$, then its angular acceleration $\alpha$ at $\theta =1\text{rad}$ is

Q. The angular position of a point on the rim of a rotating wheel is given by $\theta =4t-3t^2+t^3$, where $\theta$ is in radians and $t$ is in seconds. What is the instantaneous angular acceleration at $t=2\text{sec}$?

Q. A wheel rotates with a constant angular acceleration of $3.6{\text{rad/s}}^2$. If angular velocity of the wheel is $4.0\text{rad/s}$ at time $t_0=0$, what angle does the wheel rotate in $1\text{s}$? What will be its angular velocity at $t=1\text{s}$?

Q. A wheel has angular acceleration of $3rad/s^2$ and an initial angular speed of $2rad/sec.$ In a time of $2sec$ it has rotated through an angle of $($in radians$)?$