Final answer:
Although the student asked about an antiskid system, the provided information is related to a physics problem. The instantaneous angular velocity of the UAV propellers at t = 2.0 s is 50.0 rad/s, and the angular acceleration given by the equation is 25.0 rad/s².
Step-by-step explanation:
The question asks about the operational state of an antiskid system which is aviation-related, but the provided information relates to a physics problem involving angular velocity and angular acceleration. The student seems to have mixed up two different topics. However, focusing on the physics aspect:
Instantaneous Angular Velocity:
The formula given for the angular velocity is ω = (25.0t) rad/s, where t represents time in seconds. To find the instantaneous angular velocity at t = 2.0 s, we simply substitute 2 into the formula:
ω = 25.0 × 2.0 = 50.0 rad/s.
Angular Acceleration:
Since the angular velocity formula is given as a function of time, the coefficient of t in this linear equation represents the angular acceleration (α). Therefore, the angular acceleration is:
α = 25.0 rad/s².