The radius of the moon's orbit about the Earth is about #3.6 * 10^8# #m#. The moon's period is #2.3 * 10^6# seconds. What is the centripetal acceleration of the moon?
Centripetal acceleration is given by:
We assume uniform velocity and a circular orbit; velocity will be:
Our centripetal acceleration will become:
Using your data for the radius and period: