- #1
Muneerah
- 14
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Hi, so I got stuck on this problem and I really don't know what it is that I'm not doing right, so if you can please help me. Thank you
A satellite is in a circular orbit 11000 km
above the Earth’s surface; i.e., it moves on a
circular path under the influence of nothing
but the Earth’s gravity.
A) Find the speed of the satellite. The radius
of the Earth is 6.37 × 106 m, and the accel-
eration of gravity at the satellite’s altitude is
1.3225 m/s2 .
Answer in units of km/s.
B) Find the time it takes to complete one orbit
around the Earth.
Answer in units of s.
V= 2 pi r / T
a= v^2/r
T= V/ 2 pi r
First I found the hypotonus between the Earth and the orbit so I can find the radius of the latitude of the orbit. I got 6370 km. Then I converted the acceleration from m/s2 to Km/s2 and I got: .0013225 km/s2. Then to find the velocity I did
V= ((.0013225)(6370))(1/2)= 2.902 Km/s
for the time I got 7.2681x10-5s.
and both answers were wrong.
Homework Statement
A satellite is in a circular orbit 11000 km
above the Earth’s surface; i.e., it moves on a
circular path under the influence of nothing
but the Earth’s gravity.
A) Find the speed of the satellite. The radius
of the Earth is 6.37 × 106 m, and the accel-
eration of gravity at the satellite’s altitude is
1.3225 m/s2 .
Answer in units of km/s.
B) Find the time it takes to complete one orbit
around the Earth.
Answer in units of s.
Homework Equations
V= 2 pi r / T
a= v^2/r
T= V/ 2 pi r
The Attempt at a Solution
First I found the hypotonus between the Earth and the orbit so I can find the radius of the latitude of the orbit. I got 6370 km. Then I converted the acceleration from m/s2 to Km/s2 and I got: .0013225 km/s2. Then to find the velocity I did
V= ((.0013225)(6370))(1/2)= 2.902 Km/s
for the time I got 7.2681x10-5s.
and both answers were wrong.