Final answer:
To find the angular velocity of a wheel after 5.0 seconds with a constant angular acceleration of 5.0 rad/s², we multiply the acceleration by the time to get an angular velocity of 25.0 rad/s.
Step-by-step explanation:
The question concerns the angular velocity of a wheel at a certain time, which can be determined using kinematic equations for rotational motion. Given a constant angular acceleration (α) and the time (t), the angular velocity (ω) can be calculated with the formula ω = αt when starting from rest. To solve for the angular velocity at t = 5.0 s with an angular acceleration of 5.0 rad/s², we use the formula:
ω = αt = (5.0 rad/s²)(5.0 s) = 25.0 rad/s.
Therefore, the angular velocity of the wheel at t = 5.0 s is 25.0 rad/s.