if the radius of the earth is 6.37 times 10 to the third power in km, what is the speed in km/h resulting from the rotation of earth of a person standing on the equater. then, convert the answer to m/s.
circumference of earth = 2pi*6.37*10^3 km = 4.00*10^4 km
so, a person travels that many km in 24 hours:
4.00*10^4km/24hr = 1667.66km/hr
to get m/s, just multiply by the needed units:
1667.66km/hr * 1000m/km * 1hr/3600s = 463.24m/s
To calculate the speed resulting from the rotation of the Earth for a person standing on the equator, we need to use the formula:
Speed = 2π × radius ÷ time
First, let's convert the radius of the Earth to kilometers:
Radius of Earth = 6.37 × 10^3 km
Next, we need to determine the time it takes for the Earth to complete one rotation on its axis, which is approximately 24 hours or 24 × 60 × 60 seconds:
Time = 24 × 60 × 60 seconds
Now we can plug the values into the formula and calculate the speed:
Speed = 2π × 6.37 × 10^3 km ÷ (24 × 60 × 60 seconds)
To convert the speed from km/h to m/s, we need to know the conversion factor:
1 km/h = 1000 m / (60 × 60 seconds)
Using this conversion factor, we can convert the speed from km/h to m/s.