Answer: Linear speed is 1,670 Kph.
Explanation:
If we assume that the earth is a perfect sphere, and that is spinning itself once every roughly 24 hr, we can get the angular velocity of the Earth, in magnitude, as follows:
ω = 2π / 24 Hr
Now, by definition, an angle is the relationship between the arc s, and the radius r, so we can replace these values in the angular velocity expression, as follows:
ω = (Δs / r) . 1/Δt ⇒ ω = (Δs/Δt). 1/r
But, by definition, Δs/At, is just the linear velocity, v, so we can conclude the following;
ω = v/r ⇒ v = ω. r
So, we can get v, as follows:
v = 2π /24 hr . 6378 Km = 1,670 Km/hr.
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