Orbital period and speed of a space shuttle in flight

kevnm67

1. The problem statement, all variables and given/known data
The space shuttle is in a 290-mile-high orbit. What is the shuttles orbital speed?


2. Relevant equations
v=√GM/R+h


3. The attempt at a solution
Period:
Me= 5.98x10^24kg
Re= 6.38x10^6m
H= 290miles * 1609m = 466610m

v= √(6.67x10^-11 N)(5.98x10^24 kg)/ (6.38x10^6 m)+ 466610 m

I didn't get the correct answer and would like some help working through this problem.

willem2

try


[tex] v = \sqrt {\frac{ G M } {R+h}} [/tex]

kevnm67

That's the equation I used above

kevnm67

i dont know if this is correct but here are my recent calculations:

v=2pi r/T ---> 42955687.5/T
G*M/r^2 = 8.5368*r= 58362553.54 ->v=sqrt(58362553.54)= 7639.54
T=2pi r/v = 5622.8