trig

In a computer simulation, a satellite orbits around Earth at a distance from the Earth's surface of 2.1 X 104 miles. The orbit is circular, and one revolution around Earth takes 10.5 days. Assuming the radius of the Earth is 3960 miles, find the linear speed (velocity) of the satellite.

  1. 👍 0
  2. 👎 0
  3. 👁 1,034
  1. speed is distance/time

    for a circle, C=2pi*r
    r = 3960+104 = 4064
    C = 25534

    speed = 25534mi/10.5day = 2432mi/day

    1. 👍 0
    2. 👎 0
  2. /r] sqrt(sqrt[(1.407974x10^16)/(3960+218.4)5280]
    = 25,262 feet per second.

    The orbital period is
    T = 2(3.14)sqrt[22,061,952^3/1.407974x10^16] = 5487 seconds or 91.45 minutes.

    1. 👍 0
    2. 👎 0
  3. Part of my previous reply was lost in the posting process.

    The orbital radius is 3960 + 2.1(104) = 4178.4 miles or 22,061,952 feet.

    The alleged time to complete one orbit is 10.5(24)3600 = 907,200 seconds making the derived orbital velocity
    Vc = 152.7fps.

    Unfortunately, the real orbital velocity required to remain in a circular orbit derives from Vc=sqrt(µ/r)=
    where µ = the earth's gravitational constant and r = the orbital radius in feet =
    sqrt[(1.407974x10^16)/(3960+218.4)5280]
    = 25,262 feet per second.

    The orbital period is
    T = 2(Pi)sqrt[r^3/µ]=

    2(3.14)sqrt[22,061,952^3/1.407974x10^16] = 5487 seconds or 91.45 minutes.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physic

    What is the period of revolution of a satellite with mass m that orbits the earth in a circular path of radius 7820 km (about 1450 km above the surface of the earth)?

  2. Moon Science

    What causes the phases of the moon as observed from the Earth? A) Filtering of the light from the moon due to the Earth's atmosphere. B) The tidal forces of the Earth's oceans change the appearance of the moon. C) Change in

  3. Physics

    The moon has a period of 27.3 days and a mean distance of 3.90 x 10^5 km from the center of Earth. a) Use Kepler's laws to find the period of a satellite in orbit 6.70 x 10^3 km from the center of Earth --- I was able to do this

  4. Physics

    A communications satellite with a mass of 450 kg is in a circular orbit about the Earth. The radius of the orbit is 2.9×10^4 km as measured from the center of the Earth. Calculate the weight of the satellite on the surface of the

  1. Math

    A geosynchronous equatorial orbiting satellite orbits 22,300 miles above the equator of Earth. It completes one full revolution each 24 hours. Assume Earth's radius is 3960 miles. a. How far will the GEO satellite travel in one

  2. Physics

    A satellite orbits the earth at a distance of 10,000 miles from the earth's center. At this distance the force of gravity on the satellite is 90lbs. What would the force on the satellite be if the distance were 5000 miles instead?

  3. physic

    A satellite used in a cellular telephone network has a mass of 2010kg and is in a circular orbit at a height of 770km above the surface of the earthTake the gravitational constant to be G = 6.67×10−11N⋅m2/kg2 , the mass of

  4. physics

    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

  1. Physics

    A satellite with an orbital period of exactly 24.0 h is always positioned over the same spot on Earth. This is known as a geosynchronous orbit. Television, communication, and weather satellites use geosynchronous orbits. At what

  2. physics

    3. A satellite of mass 500 kg orbits the Earth with a period of 6000 s. The Earth has a mass of 5.98 x 1024 kg. (a) Calculate the magnitude of the Earth's gravitational force on the satellite. (b) Determine the altitude of the

  3. Physics

    Two satellites A and B of the same mass are orbiting Earth in concentric orbits. The distance of satellite B from Earth’s center is twice that of satellite A. What is the ratio of the tangential speed of B to that of A?

  4. Physics

    A satellite is put into an orbit at a distance from the center of the Earth equal to twice the distance from the center of the Earth to the surface. If the satellite had a weight at the surface of 4000 N, what is the force of

You can view more similar questions or ask a new question.