# Centripetal acceleration of an orbit to the earth... help!

by MissJewels
Tags: acceleration, basic, centripetal, earth, radius
 P: 34 1. The problem statement, all variables and given/known data A geostationary satellite goes around the Earth in 24hr. Thus, it appears motionless in the sky and is a valuable component for telecommunications, including digital television. If such a satellite is in orbit around the Earth at an altitude of 35 800 km above the Earth's surface, what is the module of its centripetal acceleration? 2. Relevant equations I believe I should use ac = (4∏2r) / T2 Converted: T= 24 hr = 86400s r = 35800 km = 35 800 000 m = 3.58 x 107 m 3. The attempt at a solution I plugged in the values: ac = (4∏235 800 000) / 864002 ac = 0,189 The answer SHOULD be 0.223 m/s2 Help!
Mentor
P: 15,167

 Quote by MissJewels If such a satellite is in orbit around the Earth at an altitude of 35 800 km above the Earth's surface ... r = 35800 km
Do you see the problem?
P: 34
 Quote by D H I have highlighted your error: Do you see the problem?