The formula for calculating the orbital speed of the eqrth as it orbits the sun is expressed as
[tex]V\text{ = }\sqrt[]{\frac{GM}{R}}[/tex]Where
G is the gravitational constant whose value is 6.673 x 10^- 11 Nm^2/kg^2
M is the mass of the central body about which the satelite orbits
R is the ardius of orbit of the satelite
From the information given,
M = 1.99 x 10^30 kg
R = 1.496 x 10^11
By substituting these values into the formula, we have
[tex]\begin{gathered} V\text{ = }\sqrt[]{\frac{6.673\text{ }\times10^{-11}\times1.99\text{ }\times10^{30}}{1.496\text{ }\times10^{11}}} \\ V\text{ = 29793.48 m/s} \end{gathered}[/tex]The orbital speed of the Earth, in m/s, as it orbits the Sun is 29793.48 m/s
