Question

# One full year is 365.26 days. Using this number and the distance between the sun and...

One full year is 365.26 days. Using this number and the distance between the sun and the earth, calculate the Earth's velocity. M earth=5.98*10^24kg M sun= 1.99*10^30 r Earth=6380 Formula F G=GmM/r^2

Solution:

Assumption : The earth revolves around the sun in a circular orbit.

One full year is 365.26 days.

Distance between the sun and the earth is .

Total distance travelled by the earth in 1 revolution around the sun = Circumference of the circular orbit of radius .

Circumference of the circular orbit of radius

Time taken by earth to complete one revolution around the sun

The earth moves around the sun with a constant speed in a circular orbit.

Speed of earth = distance travelled / Time taken to cover the distance

The earth revolves in a circular orbit so the direction of motion changes. The direction of velocity is always tagential at any point of the circle.

Hence, velocity of earth

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