Taking the age of the Earth to be about 4 x 10^9 years and assuming its orbital

Question

Taking the age of the Earth to be about 4 x 10^9 years and assuming its orbital radius of 1.5 x 10^11 m has not changed and is circular, calculate the approximate total distance earth has traveled since its birth (in a frame of reference stationary with the respect to the sun). Taking the age of the Earth to be about 4 x 10^9 years and assuming its orbital radius of 1.5 x 10^11 m has not changed and is circular, calculate the approximate total distance earth has traveled since its birth (in a frame of reference stationary with the respect to the sun).

Explanation / Answer

Given :

Radius R = 1.5 x 10^11 m

Age A = 4 x 10^9 years

Distance travelled = pi x R x A

= pi(1.5 x 10^11)(4x10^9) = 1.88 x 10^21 m

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