Answer:
t = 0.13 [s]
Explanation:
We know that the speed of light is equal to c = 3 * 10^8m/ s, equivalent to 300000000 [m / s] and the radius of the Earth equal to 6400 [km] or 6400000 [m].
The speed definition is given as:
[tex]c = \frac{x}{t} \\where:\\c = velocity or speed light [m/s]\\t = time [s]\\x = distance [m][/tex]
But we need to know the value of x.
We know that the Earth's equator resembles a circumference, and we need to know the length of the circumference that will be the value of x.
[tex]x =2*\pi *r\\where:\\r = Earth radius [m]\\replacing:\\x = 2*\pi *6400000 = 40212385.97[m][/tex]
Then we can find the time.
[tex]t=\frac{40212385.97}{300000000} \\t=0.13[s][/tex]
