Step-by-step explanation:
The angular velocity of the fan after 2.0 seconds would be 17 rad/s. This can be determined using the following equation:
ω = ω0 + α * t
where ω is the angular velocity at time t, ω0 is the initial angular velocity, and α is the angular acceleration.
Therefore, the angular acceleration of the fan is (25 - 10) / 5.0 = 5 rad/s^2. Plugging in ω0 = 10 rad/s, α = 5 rad/s^2 and t = 2.0 seconds, we get:
ω = 10 + 5 * 2.0 = 17 rad/s