The Earth's average speed relative to the Sun is 2.9 × 10⁴ meters per second.
This question is incomplete, the complete question is:
The planet Earth orbits the sun with a period of one year. In this problem, you may assume the radius of the Earth's orbit is 1.50 × 10⁸ km. Calculate the Earth's average speed relative to the Sun in meters per second?
Given the data in question;
- Radius
![r = 1.50 * 10^8 km = 1.5 *10^{11} m \ \ [convert\ from\ kilometer\ to\ meter ]](https://tex.z-dn.net/?f=r%20%3D%201.50%20%2A%2010%5E8%20km%20%3D%201.5%20%2A10%5E%7B11%7D%20m%20%5C%20%20%20%5C%20%5Bconvert%5C%20from%5C%20kilometer%5C%20%20to%5C%20meter%20%5D)
Period ( or time the Earth orbits the sun ) = 1 year ![[we\ convert\ to\ seconds]](https://tex.z-dn.net/?f=%5Bwe%5C%20convert%5C%20to%5C%20seconds%5D)
- Time
![t = 1year\ *\ 356days\ *\ 24hrs\ *\ 60min\ *\ 60sec = 31536000s](https://tex.z-dn.net/?f=t%20%3D%201year%5C%20%2A%5C%20356days%5C%20%2A%5C%2024hrs%5C%20%2A%5C%2060min%5C%20%2A%5C%2060sec%20%3D%2031536000s)
We calculate the circumference of the Earth
Circumference ![= 2\pi r](https://tex.z-dn.net/?f=%3D%202%5Cpi%20r)
We substitute in the value of r
Circumference ![= 2\pi ( 1.50 * 10^{11}m)](https://tex.z-dn.net/?f=%3D%202%5Cpi%20%28%201.50%20%2A%2010%5E%7B11%7Dm%29)
Circumference ![= 9.42 * 10^{11}m](https://tex.z-dn.net/?f=%3D%209.42%20%2A%2010%5E%7B11%7Dm)
Next, we calculate the Average Speed
We know that; Speed or Velocity = Distance / Time
Also, Circumference is the same as distance in this case,
Hence, Speed or Velocity = circumference / Time
We substitute in our values
![Speed = \frac{9.42*10^{11}m}{31536000s}](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7B9.42%2A10%5E%7B11%7Dm%7D%7B31536000s%7D)
![Speed = 29870.6 m/s](https://tex.z-dn.net/?f=Speed%20%3D%2029870.6%20m%2Fs)
![Speed = 2.99*10^4 m/s](https://tex.z-dn.net/?f=Speed%20%3D%202.99%2A10%5E4%20m%2Fs)
Therefore, the Earth's average speed relative to the Sun is 2.9 × 10⁴ meters per second.
Learn more; brainly.com/question/12527884?referrer=searchResults