Final answer:
The angular acceleration (ac) of a flywheel where ω(t) = 2.0t is a constant 2.0 rad/s², because angular acceleration is the time derivative of angular velocity and it results in a constant value for a linear function in time.
Step-by-step explanation:
The student has asked for the angular acceleration (ac) of a flywheel with a given angular velocity function ω(t) = 2.0t when t = 2.0 s. Angular acceleration is defined as the derivative of angular velocity with respect to time, which, in this case, simply results in a constant value because the given function is linear with respect to time.
To find the angular acceleration, we differentiate the function ω(t) = 2.0t with respect to time (t), giving us ac = dω/dt = 2.0 rad/s². So, at t = 2.0 s (or any other time), the angular acceleration is 2.0 rad/s².
Therefore, the correct answer to the student's question is a) 2.0 rad/s².