Question

The Moon takes about 27 days to orbit the Earth. Assuming a circular orbit, how fast is it orbiting? Express your answer in km/hr.

Answer 1

3727.24km/h

Step-by-step explanation:

Hello!

To solve this problem we must first know what is the distance from the earth to the moon, this will be our radius.

=384400Km

Then we find the distance traveled which would be the perimeter of a circle = 2πr, finally to find the speed we divide the distance traveled by 27 days.

Finally we use conversion factor to have the speed in km / h

solving

`perimeter= 2(3.14)r=2(3.14)(384400Km)=2415256.432km\\Speed=(2415256.432km)/(27days) *(1day)/(24h) =3727.24km/h`

the moon is orbiting at speed of 3727.24km/h