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

by MissJewels
Tags: acceleration, basic, centripetal, earth, radius
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MissJewels
#1
Nov14-11, 03:20 PM
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!
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D H
#2
Nov14-11, 03:31 PM
Mentor
P: 15,167
I have highlighted your error:

Quote Quote by MissJewels View Post
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?
MissJewels
#3
Nov14-11, 03:54 PM
P: 34
Quote Quote by D H View Post
I have highlighted your error:



Do you see the problem?
ahaha... isnt altitude the radius?

D H
#4
Nov14-11, 04:00 PM
Mentor
P: 15,167
Centripetal acceleration of an orbit to the earth... help!

No. Altitude is the distance between the satellite and the closest point on the surface of the Earth. Radius is the distance to the center of the Earth.
MissJewels
#5
Nov14-11, 04:13 PM
P: 34
Quote Quote by D H View Post
No. Altitude is the distance between the satellite and the closest point on the surface of the Earth. Radius is the distance to the center of the Earth.
OOOOH so i add the radius with the altitude, and THATS the r value i use! Right?
THANKS
MissJewels
#6
Nov14-11, 04:20 PM
P: 34
Nvm, I got it, thanks again !
D H
#7
Nov14-11, 04:43 PM
Mentor
P: 15,167
Very good, and you're welcome.
mnicorici
#8
Nov19-11, 10:51 AM
P: 1
how do you calculate the distance from the center of the Earth for a geosynchronous satellite orbit?


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