33.6k views
4 votes
The radius of the earth's very nearly circular orbit around the sun is 1.5x10¹¹m. Find the magnitude of the earth's velocity as it travels around the sun. Assume a year of 365 days. (km/s)

User Alara
by
8.5k points

1 Answer

5 votes

Final answer:

To find the magnitude of the Earth's velocity as it travels around the Sun, use the formula for the circumference of a circle and divide by the time it takes for one complete revolution.

Step-by-step explanation:

To find the magnitude of the Earth's velocity as it travels around the Sun, we can use the formula for the circumference of a circle, which is given by 2πR, where R is the radius of the circle. In this case, the radius of Earth's orbit is 1.5x10^11 m.

To calculate the average speed, divide the circumference by the time it takes for one complete revolution, which is one year or 365 days.

Convert the answer from meters per year to kilometers per second by using the knowledge that there are 3.6x10^6 seconds in one year. The magnitude of the Earth's velocity as it travels around the Sun is approximately ______ km/s.

User Dane Jordan
by
7.8k points