Final answer:
The angular velocity of the Moon, which completes an orbit every 27.3 days, is calculated to be approximately 0.2298 radians per day.
Step-by-step explanation:
The angular velocity of the Moon as it orbits Earth can be determined by considering that a complete orbit (360 degrees or 2π radians) is equivalent to the Moon's period of orbit, which completes an orbit every 27.3 days,i s calculated to be approximately 0.2298 radians per day.
Since the Moon orbits Earth every 27.3 days, the angular velocity (ω) can be calculated using the formula ω = Θ / t, where ω is the angular velocity in radians per day, Θ is the angle in radians (2π for one complete revolution), and t is the time in days. Therefore, the angular velocity of the Moon is ω = 2π radians / 27.3 days, which simplifies to approximately 0.2298 radians per day.