Calculate the angular speed of the moon if it makes a revolution around the earth in 27.3 days?
360 degrees in 27.3 days.
Angular speed = angle/time
360 degrees / 27.3 days
= ? degrees/day?
If necessary, use conversion 1 day = 86400 seconds to find degrees/s.
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calculate the angular speed of the moon if it makes a revolution around the earth in 27 3/4
To calculate the angular speed of the moon, we first need to understand that angular speed is a measure of how quickly an object moves in terms of the angle it covers in a certain amount of time.
In this case, we know that the moon completes one revolution around the Earth in 27.3 days. To calculate the angular speed, we can use the formula:
Angular speed (ω) = 2π / Time period (T)
Where ω is the angular speed in radians per unit time, and T is the time period in the same units.
Now, let's substitute the given values into the formula:
Angular speed (ω) = 2π / 27.3 days
However, we should convert the time period from days to a more suitable unit for angular speed. Since 1 revolution is equal to 2π radians, we can say that the moon completes one revolution per 27.3 days, which is equal to 2π radians per 27.3 days.
Now, we can calculate the angular speed:
Angular speed (ω) = 2π / 27.3 days
= (2π radians) / (27.3 days)
Using a calculator or a mathematical software, we can find the approximate value:
Angular speed (ω) ≈ 0.2292 radians/day
Therefore, the angular speed of the moon is approximately 0.2292 radians per day.