Question

Find the distance that the earth travels in two days in its path around the sun. Assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles. [Note: The path of the earth around the sun is actually an ellipse with the sun at one focus (see Section 11.2). This ellipse, however, has very small eccentricity, so it is nearly circular.] (Round your answer to one decimal place.) million mi

Answer 1

The distance covered by the earth in 2 days will be =
`3.20 * 10^6 miles`

Step-by-step explanation:

Given:

Radius of the circle formed by the movement of the earth around the sun, r = 93 million miles = 93000000 miles

Thus, the distance traveled by the earth in 1 complete revolution, d = 2 x π x r

substituting the values we get,

d = 2 x π x 93000000 miles = 584.33 × 10⁶ miles

Now

the distance 'd' is covered by the earth in 365 days

thus, the distance covered in 1 day will be =
`(584.33* 10^6 \ miles)/( 365\ days) = 1.60* 10^6 miles/day`

hence,

the distance covered by the earth in 2 days will be =
`2* 1.60* 10^6 miles/day = 3.20 * 10^6 miles`