Final answer:
To calculate the angular velocity of an object moving through an arc of 180 degrees in 30 seconds, divide the angle in radians (π) by the time in seconds (30), which yields approximately 0.105 rad/s.
Step-by-step explanation:
The student is asking how to calculate the angular velocity of an object that moves through an arc of 180 degrees in 30 seconds. In physics, angular velocity (ω) is defined as the change in angle (ΔΘ) per unit time (Δt).
Since 180 degrees is equivalent to π radians, and the given time is 30 seconds, the angular velocity can be calculated using the formula: ω = ΔΘ / Δt
ω = π radians / 30 seconds = π/30 rad/s or approximately 0.105 rad/s.