The Moon, which revolves around Earth with a period of about 27.3 d in a nearly circular orbit has a centripetal acceleration of 2.7x10^-3 m/s^2. What is the average distance from Earth to the moon.

Question

The Moon, which revolves around Earth with a period of about 27.3 d in a nearly circular orbit has a centripetal acceleration of 2.7x10^-3 m/s^2. What is the average distance from Earth to the moon. 
(Would appreciate a response without the use of radians).

bobpursley · Answer

You need to learn radians quickly, or get left behind.
acceleration=v^2/r=(2PIr/Period)^2 / r
acceleration= 4PI^2*r/Period^2
or r=Period^2*acceleration/(4PI^2)
so convert period in days to seconds, and you have it.