the earth (mass=5.98x10^24kg) rotates around the sun in a orbit that is approximately circular, with a radius of 1.5x10^11m
find the orbital speed of the earth around the sun
Calculated by ans
To find the orbital speed of the Earth around the Sun, we can use the formula for orbital speed:
v = √(GM/r)
where:
v is the orbital speed
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
M is the mass of the Sun (approximately 1.989 × 10^30 kg)
r is the radius of the Earth's orbit around the Sun (1.5 × 10^11 m)
Now let's plug in the values and calculate the orbital speed:
v = √((6.67430 × 10^-11 m^3 kg^-1 s^-2) * (1.989 × 10^30 kg) / (1.5 × 10^11 m))
v = √(1.25724275 × 10^20 m^3 s^-2 kg^-1)
v = 1.121 × 10^4 m/s
So, the orbital speed of the Earth around the Sun is approximately 1.121 × 10^4 m/s.