Question #15538

If the earth has a circumfrence of 60,000Km, how fast must a satelite be traveling if it is 300Km from the surface to remain in orbit?
Hint: gravity is 9.8m/s2

Expert's answer

mg=R*m*w^2

sqrt(g/R)=w (angular speed)

R=h+(60000/2*pi)

w=sqrt(9.8/(h+60000/2*pi))

w=0.33 (angular speed)

sqrt(g/R)=w (angular speed)

R=h+(60000/2*pi)

w=sqrt(9.8/(h+60000/2*pi))

w=0.33 (angular speed)

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