The earth has a radius of 6380 km and turns around once every 24 hours. What is the average speed of a person resting at the equator?
2 pi R/T = 1670 km/hour
To find the average speed of a person resting at the equator, we need to calculate the distance covered by the person in 24 hours.
The distance covered by the person in 24 hours will be equal to the circumference of the Earth (since in 24 hours, the Earth completes one full rotation).
The formula to find the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
Given that the radius of the Earth is 6380 km, we can substitute this value into the formula:
C = 2π(6380)
Now, let's calculate the value of C:
C = 2 x 3.14 x 6380
C ≈ 40075 km
So, the circumference of the Earth is approximately 40075 km.
Since the person completes this distance in 24 hours, we can calculate their average speed by dividing the distance covered by the time taken:
Average Speed = Distance ÷ Time
Average Speed = 40075 km ÷ 24 hours
Average Speed ≈ 1670.2 km/h
Therefore, the average speed of a person resting at the equator is approximately 1670.2 kilometers per hour.