Finding the Moon's centripetal acceleration given orbital period and radius

[dance_sg]

Homework Statement

The moon takes 27.3 days to circle Earth and its centre is located 3.84 x 108 m from the centre of Earth. What is the Moon’s acceleration?

Homework Equations

a=v^2/r, a=4(pi)^2mr/T^2

The Attempt at a Solution

i don't know how to answer this question because i don't know what I am suppossed to do with the 27.3 days.

 

[buffordboy23]

Your equations look good except for the "m" in the second equation. Where did that come from?

Anyways, the units of acceleration is the meter per second per second, m/(s^2). You must convert the days to seconds. This is a common procedure for many intro physics problems.

 

[dance_sg]

so then i would just use the second equation i provided(excluding the m) plug everything in and get an answer of 2.72 x 10^-3 m/s2??

 

[songoku]

Yups