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

AI Thread Summary
To determine the time it takes for a satellite to orbit the Earth, the average speed of 19,800 mi/h is used alongside the radius of the orbit, which is the sum of Earth's radius (3,963 mi) and the altitude of 233 mi, resulting in a total radius of 4,196 mi. The circumference of the orbit is calculated using the formula C = 2πr, leading to a circumference of approximately 26,360 mi. By applying the velocity equation V = x/t, the time to complete one orbit is calculated as t = circumference / speed. This results in a time of approximately 1.33 hours to circle the Earth. The discussion emphasizes the importance of correctly calculating the orbit's circumference to find the time.
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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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