(adsbygoogle = window.adsbygoogle || []).push({}); 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

a_{c}= (4∏^{2}r) / T^{2}

Converted:

T= 24 hr = 86400s

r = 35800 km = 35 800 000 m = 3.58 x 10^{7}m

3. The attempt at a solution

I plugged in the values:

a_{c}= (4∏^{2}35 800 000) / 86400^{2}

a_{c}= 0,189

The answer SHOULD be 0.223 m/s^{2}

Help!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Centripetal acceleration of an orbit to the earth help!

**Physics Forums | Science Articles, Homework Help, Discussion**