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;
Period ( or time the Earth orbits the sun ) = 1 year [tex][we\ convert\ to\ seconds][/tex]
We calculate the circumference of the Earth
Circumference [tex]= 2\pi r[/tex]
We substitute in the value of r
Circumference [tex]= 2\pi ( 1.50 * 10^{11}m)[/tex]
Circumference [tex]= 9.42 * 10^{11}m[/tex]
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
[tex]Speed = \frac{Circumference}{Time}[/tex]
[tex]Speed = \frac{9.42*10^{11}m}{31536000s}[/tex]
[tex]Speed = 29870.6 m/s[/tex]
[tex]Speed = 2.99*10^4 m/s[/tex]
Therefore, the Earth's average speed relative to the Sun is 2.9 × 10⁴ meters per second.
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