Satellite. calculate radius of orbit

AI Thread Summary
To calculate the radius of a satellite's orbit with a period of 25.4 hours, two key equations are utilized: v = 2πr/T and v = √(GM/r). By equating these two expressions for velocity, the radius r can be derived. The mass of the Earth is given as 5.98 x 10^24 kg, which is essential for the calculations. Solving the equations leads to the determination of the satellite's orbital radius.
evan b
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Homework Statement





satellite is in a circular orbit around the earth. The period of the satellite is 25.4 hr. Calculate the radius of the orbit of the satellite. Data: Mass of the Earth = 5.98 x 1024 kg
 
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We have two equations we should use:

v = \frac{2\pi r}{T}

and

v = \sqrt{\frac{GM}{r}}

let them equal each other, then solve for r.
 
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