Question

Take the distance between the Earth and the Sun to be 149,500,000,000 m. Calculate the velocity of the Earth in its

orbit around the Sun in m/s. Take the year to be 365 days long.

Answer 1

The velocity of the earth in its orbit around the sun is
`2.96*10^(4) m/s`

Explanation

Given that the distance between sun and earth is 149500,000,000m .

This is the radius of the nearly circular orbit of the earth around the sun.

r=149,500,000,000m=
`1.49*10^(11) m`

`circumference=2\pi r\\=2*3.14*1.49*10^(11) \\=9.3572*10^(11)`

`time =365*24*60*60\\=3.1536*10^(11) s\\velocity=distance/time\\=(9.3572*10^(11))/3.1536*10^(7) \\ =2.96*10^(4) m/s`