Final answer:
To calculate the Moon's angular speed, we use the formula ω = 2π/T, where 'T' is the period in seconds (2.36 × 10^6 s). The result will give the angular speed in radians per second.
Step-by-step explanation:
The question asks us to calculate the angular speed of the Moon as it orbits the Earth. The angular speed (ω) is calculated using the equation ω = 2π/T, where T is the period of orbit. Given that the Moon's period (T) is 27.3 days, we must convert this time into seconds before we can compute the angular speed. There are 86400 seconds in a day, so 27.3 days times 86400 seconds/day equals 2.36 × 106 seconds. Using this period, the angular speed of the Moon can be calculated by the equation provided.
To calculate the angular speed (ω), we use:
ω = 2π/(2.36 × 106 s)
After performing the calculation, we find the value of ω, which represents the angular speed of the Moon in radians per second.