angular and linear velocity word problems

Question

trip class

Approximate the linear speed of the earth in its orbit about the sun in miles per hour. Assume the orbit of the earth is nearly a circle with a radius of 93,000,000 miles.

Answer 1

1 year = 8760 hours

C = 2πr

C = 186,000,000π

C = 584336233.6

C = 5.843362336 x 10⁸

 

5.84 x 10⁸ / 8.760 x³

0.625 x 10⁵

6.25 x 10⁴

 

About 62,500 mph.