Earth is spinning along at 1,674 km/h at the equator. Use this number to find Earth's equatorial diameter.
velocity=rotation rate*radius
rotation rate=1rev/day
velociyt= 2PI radians/day*1day/24hrs *radius
velocity=1674km/h
radius=167km*24hr/hr /2PI
radius=1674km*24hr/hr /2PI
20088
12742 km
To find Earth's equatorial diameter using the given information, we can use the formula for calculating the circumference of a circle.
The formula for the circumference of a circle is:
C = 2πr
Where C is the circumference, π is the mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
In this case, the Earth's equator represents the circumference of a circle, and we are given the speed of the rotation of the Earth, which is 1674 km/h.
We can equate the speed of the Earth's rotation to the distance traveled in one hour by finding the circumference of the Earth:
1674 km/h = C
Now we need to convert the speed from km/h to km/min because one hour is equal to 60 minutes:
1674 km/h = C / 60 km/min
We can rewrite the equation as:
1674 km/h = (2πr) / 60 km/min
Now we can solve for r by isolating it:
r = (1674 km/h * 60 km/min) / (2π)
We can simplify this equation:
r = 50160 km²/h / (2π)
Now we can solve for the radius:
r ≈ 7968 km/h
To find the diameter, we multiply the radius by 2:
Diameter = 2 * r
Diameter ≈ 2 * 7968 km/h
Diameter ≈ 15936 km
Therefore, Earth's equatorial diameter is approximately 15,936 kilometers.