Final answer:
The physics question asks to calculate the angular acceleration of a flywheel accelerating from rest, which can be found using rotational motion equations. The angular acceleration is 16.7 rad/s².
Step-by-step explanation:
The question concerns a flywheel that is set into motion with a constant angular acceleration. To answer the question, one needs to apply the principles of rotational motion and kinematics within the realm of classical mechanics, a central part of high school physics curriculum.
To determine the angular acceleration, we can use the formula α = (ω - ω₀) / t, where α is angular acceleration, ω is the final angular velocity, and ω₀ is the initial angular velocity. Time 't' represents the duration for which the acceleration was applied. Here's how you solve for the flywheel's angular acceleration:
- Identify the known values: initial angular velocity (ω₀ = 0 rad/s, since it starts from rest), final angular velocity (ω = 100 rad/s), and time interval (t = 6.0 s).
- Apply the formula to find angular acceleration: α = (100 rad/s - 0 rad/s) / 6.0 s = 16.7 rad/s².
This answer implies the flywheel undergoes an angular acceleration of 16.7 rad/s² over the 6 seconds.