Final answer:
To calculate the angle in radians that a rotor rotates over a 4-second interval, we would multiply the angular velocity by time. Without the angular velocity given, we cannot provide an exact answer, but with a hypothetical value, the calculation would show the rotor's angular displacement in radians.
Step-by-step explanation:
The question is asking to determine the angle through which a rotor rotates from t = 0 to t = 4.00 s given a certain angular velocity. To find the angle in radians, we can use the formula for angular displacement, which is the product of angular velocity and time. Unfortunately, the angular velocity is not directly provided in the question. However, assuming we have the angular velocity (ω), the angle (θ) in radians can be calculated as θ = ω × t.
If we hypothetically suppose the angular velocity was given as 104.7 rad/s, we would calculate the angle in radians as follows:
Angle in radians = Angular velocity (ω) × Time (t)
Angle in radians = 104.7 rad/s × 4.00 s
Angle in radians = 418.8 radians
This would be the angle through which the rotor has rotated over the 4 second interval.