Question

The Navstar Global Positioning System (GPS) utilizes a group of 24 satellites orbiting the Earth. Using "triangulation" and signals transmitted by these satellites, the position of a receiver on the Earth can be determined to within an accuracy of a few centimeters. The satellite orbits are distributed around the Earth, allowing continuous navigational "fixes." The satellites orbit at an altitude of approximately 11,000 nautical miles [1 nautical mile = 1.852 km=6076ft].
Part A
Determine the speed of each satellite.

Part B
Determine the period of each satellite.

Answer 1

@agent0smith I need help with this last one too,I am doing something wrong again

this is what I

Answer 2

did

Answer 3

m v^2 / r = G M m / r^2

v = sqroot of GM/r

v= sqroot of (6.67 x 10^-11) (5.98 x 10^24) / (6381852)
v = 7910 m/s

Answer 4

but for some reason this is wrong

Answer 5

for the radius i added 1852 + 6380000 = 6381852 m

Answer 6

1852km = 1.852 x 10^6m + something, . why do you just let it there without convert to m?

Answer 7

I have to convert bc G constant is in meters

Answer 8

sure!! but the altitude of the satellite is 1852 km, right?

Answer 9

and the velocity has to be in meters

Answer 10

it says its 1.852 km so that is 1852 m

Answer 11

so, the radius = 1852 x 10^6 + radius of earth ,

Answer 12

i dont understand where you got the 10^6 from..why would i multiply 1852 by 10^6 ?

Answer 13

ok, I misread

Answer 14

but the altitude is 11000 nautical and 1 nautical = 1.852km so the altitude is 11000*1852 to get m from ALTITUDE only, right ? then r = that altitude + radius of Earth

Answer 15

ahhh, i see it, i dont know but I will try it out and see if it works

Answer 16

sorry it took long for some reason i lost connection to openstudy finally its back open...I got an answer of 3.86 x 10^14 m/s ...does that seem right?

Answer 17

i get an answer of 3.86 x 10^14 m/s does that seem right?

Answer 18

never mind i just checked again on the calculator i think its 3861. 32 m/s

Answer 19

thank you @Loser66

Answer 20

thank you so much for your help @agent0smith and @Loser66

Answer 21

3.86 x 10^14 m/s

this is about a million times faster than the speed of light, which should've been a clue that your answer was a bit off :P

Answer 22

i realized after a while that seemed wrong, thank you