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= $1.49*10^{11} m$

$circumference=2\pi r\\=2*3.14*1.49*10^{11} \\=9.3572*10^{11}$

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