Solving time for a satellite to circle the earth using velocity equation

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SUMMARY

The discussion focuses on calculating the time it takes for a space shuttle to orbit the Earth using the velocity equation. The average speed of the shuttle is given as 19,800 mi/h, and it orbits at an altitude of 233 mi above the Earth's surface, which has a radius of 3,963 mi. The correct approach involves calculating the circumference of the orbiting path, which is derived from the total radius of 4,196 mi. The time to complete one orbit is determined to be approximately 0.2120 hours.

PREREQUISITES
  • Understanding of circular motion and orbital mechanics
  • Familiarity with the velocity equation V = x/t
  • Knowledge of basic geometry for calculating circumference
  • Ability to perform unit conversions and calculations
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  • Research how to calculate the circumference of a circle using the formula C = 2πr
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Students in physics or engineering, educators teaching orbital mechanics, and anyone interested in space travel calculations.

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Homework Statement



The average speed of an orbiting space shuttle
is 19800 mi/h. The shuttle is orbiting about
233 mi above the Earth’s surface. Assume the
Earth’s radius is 3963 mi.
How long does it take to circle the earth?
Answer in units of h.


Homework Equations



I think it may use V= x/t.


The Attempt at a Solution



t = 4199 mi / 19800 mi/h = .2120 h.
 
Physics news on Phys.org
Orbiting the Earth means it's traveling in a circle with radius 3963+233 mi. So the x in your equation is the circumference of that circle. What would that be?
 

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