Question

How far does earth travel in one year as it makes one complete orbit?

Answer 1

Hint: Of course, the Earth's spin isn't the only acceleration we have in space. According to Cornell, our orbital speed around the sun is nearly \[67,000\;mph\;\left( {107,000\;km/h} \right)\] . With fundamental geometry, we can measure it.

Complete answer:
In order to calculate the problem, we have to find out how far the Earth goes, first of all. It takes Earth nearly 365 days to orbit the sun. The orbit is an ellipse, so let's assume it's a circle, to make the math easier. So, the diameter of a globe is the Earth's orbit. According to the International Astronomers' Union, the distance from Earth to the sun, considered an astronomical unit, is \[92,955,807\;miles\;\left( {149,597,870\;kilometers} \right)\]
What we consider as radius$(r).$ A diameter equal to $2 \times \pi \times r$ is the circumference of the loop. Calculating this, $2 \times 3.14 \times 92,955,807 = 583,762,467.96.$ So the Earth flies some \[584\] million miles in one year (approximately) (i.e.\[940\] million km).
Since ${\text{speed = }}\dfrac{{{\text{distance}}}}{{{\text{time}}}}$ we can also calculate the speed of the Earth by dividing the distance by \[365.25\] days. And dividing the outcome by \[24\;\] hours in order to get miles per hour or kilometers per hour.

Note: Since the Earth's orbit around the sun is elliptical, it is very much like a circle. It is possible to model the orbit by ${x^2} + {y^2} = 8649,$here the sun is at its origin, and each coordinate plane is \[1\] million miles in length. The orbital speed of Earth is \[29.78km/s{\text{ }}\left( {107,208km/hr;66,616mph} \right)\] on average, which is rapid enough to reach the diameter of the planet in \[7\] minutes and the distance to the Moon in \[4\] hours. Earth will seem to revolve in a counterclockwise fashion around the Sun from a perspective near the north pole of either the Sun or Earth.