every year the earth travels on its orbit about the sun. What is earth average speed in m/s, taken that the average orbital radius in 93,200,000 miles
To calculate the average speed of the Earth in meters per second, we need to convert the given distance to meters and divide it by the time taken for one complete orbit.
First, let's convert the average orbital radius from miles to meters. 1 mile is approximately equal to 1609.34 meters. So, the average orbital radius is:
93,200,000 miles * 1609.34 meters/mile = 149,597,870,400 meters
Next, we need to determine the time taken for one complete orbit. The Earth completes one orbit around the Sun in approximately 365.25 days, as it takes into account the leap year. We can convert this to seconds by multiplying it by the number of seconds in a day, which is 24 hours * 60 minutes * 60 seconds = 86,400 seconds.
365.25 days * 86,400 seconds/day = 31,557,600 seconds
Finally, we can calculate the average speed by dividing the distance traveled (orbital circumference) by the time taken:
Average speed = Distance traveled / Time taken
Circumference of a circle = 2 * π * radius
Average speed = (2 * π * 149,597,870,400) meters / 31,557,600 seconds
Using the value of π ≈ 3.14159, we can simplify the calculation:
Average speed ≈ (2 * 3.14159 * 149,597,870,400) meters / 31,557,600 seconds
Average speed ≈ 298,605 meters/second
Therefore, the average speed of the Earth in its orbit around the Sun is approximately 298,605 meters per second.