the moon orbits the earth in a circle (near enough) of radious 3.8x10^8 m, taking 27.3 days to make a complete orbit.
what is the speed of the moon relative to the earth?
speed= distance/time= 2PI*radius/period
you may want to change period to seconds.
To find the speed of the moon relative to the earth, we need to use the formula v = (2πr) / T, where v is the speed, r is the radius of orbit, and T is the time taken to complete one orbit.
Given:
Radius of the moon's orbit (r) = 3.8x10^8 m
Time taken for one orbit (T) = 27.3 days
First, let's convert the time taken to seconds:
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
Therefore, 27.3 days = 27.3 x 24 x 60 x 60 seconds.
Now we can calculate the speed:
v = (2πr) / T
v = (2π x (3.8x10^8)) / (27.3 x 24 x 60 x 60)
Simplifying the equation, we get:
v ≈ 1022 m/s
So, the speed of the moon relative to the earth is approximately 1022 m/s.