If the average speed of earth's orbit is about 67,000 mph, what is the Earth's average radius from the sun?
find the hours in a year ... 365.25 days * 24 hrs per day
multiply by the average orbital speed to find the circumference of the orbit
radius = circumference / (2 π)
To find the Earth's average radius from the sun, we can use the equation for average speed, which is the total distance traveled divided by the total time taken.
The total distance traveled by the Earth in one orbit is the circumference of its orbit, which is equal to 2π times the average radius ("r") from the sun.
The total time taken for one orbit is the period of the Earth's orbit around the sun, which is approximately 365.25 days.
Since we need to convert the average speed from miles per hour (mph) to miles per day, we need to multiply by 24 (hours in a day) and 365.25 (days in a year).
Let's calculate it step by step:
Step 1: Convert the average speed from mph to miles per day.
67,000 mph * 24 hours/day = 1,608,000 miles/day
Step 2: Multiply the average speed in miles per day by the period of the Earth's orbit.
1,608,000 miles/day * 365.25 days/year = 587,214,000 miles
Step 3: Divide the total distance traveled by 2π to get the average radius ("r") from the sun.
587,214,000 miles / (2 * π) ≈ 93,000,000 miles
Therefore, the Earth's average radius from the sun is approximately 93,000,000 miles.