math

posted by .

If a satellite completes an orbit 820 miles above the earth in 11 hours at a velocity of 22,000 mph, how long would it take a satellite to complete an orbit if it is at 1400 miles above the earth at a velocity of 36,000 mph? (Use 36,000 miles as the radius of the earth. )

  • math -

    The answer should be 7.54 hours. What is the formula I need to get this answer?

  • math -

    The formula that will clear up your problem is
    ......Vc = sqrt(µ/r)
    where Vc = the velocity required to keep a body in a circular orbit, in feet/sec., r = the orbital radius in feet and µ = the Earth's gravitational constant or 1.407974x10^16 ft^3/sec^2.

    The numbers you offer are inconsistent and unreal. Also, the radius of the earth is 3963 miles or 20,924,640 feet.

    The real circular velocity for an orbit of 820 miles altitude is
    Vc = sqrt(1.407974x10^16/(3963+820)5280
    Vc = 23,612 fps or 16,099 mph.

    The orbital period is therefore
    Tc = (3963+820)5280(2)3.14/23,612 hr
    Tc = 112 min.

    The orbital period may also be derived from
    Tc = 2(Pi)sqrt(r^3/µ)
    Tc = 6.28sqrt(25,254,240^3/1.407974x10^16)
    Tc = 6720 sec. or 1.866 hr or 112 min.

    For the 1400 mile altitude,
    Tc = 15,203mph and Tc = 132.98 min.

    Tc(1400)/Tc(840) = r(1400)^(3/2)/r(840)^(3/2)

  • math -

    Lucy have 211 coins how much she have

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Mathematics

    Low Earth orbiting satellites orbit between 200 and 500 miles above Earth. In order to keep the satellites at a constant distance from Earth, they must maintain a speed of 17,000 miles per hour. Assume Earth's radius is 3960 miles. …
  2. Math

    A satellite is launched into orbit 200 kilometers above the Earth.The orbital velocity of a satellite is given by the formula v=√GmE/r, where v is the velocity in meters per second, G is a given constant, mE is the mass of Earth, …
  3. Geometry

    A satellite in a nearly circular orbit is 2000 km above Earth's surface. The radius of Earth is approximately 6400 km. If the satellite completes its orbit in 112 hours, calculate the speed of the satellite in kilometers per hour. …
  4. geometry

    A satellite in a nearly circular orbit is 2000 km above Earth's surface. The radius of Earth is approximately 6400 km. If the satellite completes its orbit in 12 hours, calculate the speed of the satellite in kilometers per hour.(pay …
  5. Math WORD PROBLEM

    The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit 860 miles …
  6. earth

    A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How long, in hours, does it take the satellite to travel 8,400 miles?
  7. Math

    When a satellite is h kilometres above Earth,the time,t,in minutes,to complete one orbit is given by the formula t=Root of (6370+h)^3/6024 a) A telecommunications satellite is placed 30 km above Earth. How long does it take the satellite …
  8. Math

    a satellite traveling in a circular orbit 2000 kilometers above the earth completes one orbit every 3 hours. assume the earth is a sphere and its radius is 6400 kilometers. find the angular velocity of the satellite
  9. Math

    a satellite traveling in a circular orbit 2000 kilometers above the earth completes one orbit every 3 hours. assume the earth is a sphere and its radius is 6400 kilometers. find the angular velocity of the satellite
  10. physics

    The mass of the Earth is 5.972kg, and the radius of Earth is 6, 371 km. A 750 kg satellite orbits 35, 800 km above Earth in a perfectly circular orbit. 1. If the gravitational force is the centripetal force keeping the satellite in …

More Similar Questions