Question

A weather satellite in circular orbit around Earth completes one orbit every 5 hours. The radius of Earth is about 6,400 km and the satellite is positioned 4,700 km above the Earth. How far does the satellite travel in 1 hour? Round your answer to the nearest kilometer.

Answer 1

@algebra2sucks :you there ?

Answer 2

Yes lol sorry

Answer 3

np ,do you know what is angular velocity ?

Answer 4

nope :/

Answer 5

Hmmm ,First of all you should know that the angular velocity is the same .
\[\omega= {2\pi\over T}={2\pi\over 5}{\rm rad/hr}\\
v=r\times\omega=?\]
Then , the distance travelled in 1hr =\[v\times 1hr\]

Answer 6

Can you continue now ?

Answer 7

do we use 6,400 and 4,700

Answer 8

Yes ,of course ==> (r)

Answer 9

whats the w? so 6,400 x what?

Answer 10

\[\Large \color{Red}{\bf \omega=angular~velocity~.}\]
\[\Large v=r\times\omega\]
\[\Large \color{MidnightBlue}{\omega={2\pi\over 5}{\rm rad/hr}\\
v=(6400+4700){2\pi\over 5}=11100\times {2\pi\over 5}{\rm km/hr}\\
d=v\times t=11100\times{2\pi\over 5}{\rm km/hr}\times1{\rm hr}\\
\Large\boxed{d=??~{\rm km}}}\]
Calculate the d (Distance) .
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Got it ?

Answer 11

Yes i got it!

Answer 12

Well i little i got it lol

Answer 13

lol ,If you have any questions ,Feel free to ask :)

Answer 14

do I calculate 2 divided by 5 then times the answer?

Answer 15

\[\Large \bf d=11100 \times \frac{2 \times \pi}{5} \times 1 \]

Answer 16

5,906 or 8,042? for the answer?

Answer 17

@Eyad