Respuesta :
Answer:
29865.31 m/s
Explanation:
Radius of the Earth orbit if it is assumed to be circular = 1.5×10¹¹ m = r
Circumference of the orbit = 2πr
= 2π×1.5×10¹¹
= 3π×10¹¹ m
Time taken by Earth to complete one rotation around the orbit = 365.25 days
Converting to seconds we get
365.25×24×60×60
= 31557600 seconds
Velocity of Earth
[tex]v=\frac{\text{Circumference of the orbit}}{\text{Time taken by Earth to complete one rotation around the orbit}}\\\Rightarrow v=\frac{3\pi \times 10^{11}}{31557600}\\\Rightarrow v=29865.31\ m/s[/tex]
∴ The average speed of Earth in its orbit is 29865.31 m/s
Average speed of a body is the ratio of distance traveled by a body in the given time.
The average speed of Earth in its orbit is 29,865.31 meter per second.
What is average speed?
Average speed of a body is the ratio of distance traveled by a body in the given time.
Given information-
The average distance between Earth and the Sun is [tex]1.5\times10^{11}\rm m[/tex]
Let the Earth rotates in circular orbit around the Sun. Then the distance between the Sun and Earth is the radius of the orbit made by the earth rotation.
Now the total distance covered by the earth in one rotation would be equal to the circumference of the orbit. The circumference of the circle can be given as,
[tex]d=2\pi \times r[/tex]
Put the values,
[tex]d=2\pi \times 1.5\tiems10^{11}\\d=3\pi \times \tiems10^{11}[/tex]
The time taken by earth to complete one rotation around the Sun is 365.25 days. In seconds,
[tex]t=\dfrac{365.25}{24\times60\times60}\\t=315557600\rm s[/tex]
Thus the average speed of the earth can be given as,
[tex]v=\dfrac{d}{t} \\v=\dfrac{3\pi \times10^{11}}{31557600}\\v=29865.31\rm m/s[/tex]
Thus the average speed of Earth in its orbit is 29,865.31 meter per second.
Learn more about the average speed here;
https://brainly.com/question/4931057
