Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or off, the spinning parts tend to change the rate of their rotation with virtually constant angular acceleration. Many introductory problems in rotational kinematics involve motion of a particle with constant, nonzero angular acceleration. The kinematic equations for such motion can be written as \theta (t) = \theta_0 +\omega_0t + \frac{1}{2}\alpha t^2
and
\omega (t) = \omega_0 + \alpha t.
Here, the symbols are defined as follows:
theta(t) is the angular position of the particle at time t.
theta_0 is the initial angular position of the particle.
omega(t) is the angular velocity of the particle at time t.
omega_0 is the initial angular velocity of the particle.
alpha is the angular acceleration of the particle.
t is the time that has elapsed since the particle was located at its initial position.
In answering the following questions, assume that the angular acceleration is constant and nonzero: \alpha \neq 0.
True or false: The quantity represented by theta is a function of time (i. e., is not constant).