Answer:
4216,22 m/s
Explanation:
Linear speed can be calculated with:
V = 2πr / T
Where V is linear speed, r is radius of the circular path which the object takes and T is period of the rotational motion. We want to calculate the speed in SI units, so:
1250 kilometers = 1250 * [tex]10^{3}[/tex] meters
6400 kilometers = 6400 * [tex]10^{3}[/tex] meters
We will take r as the sum of radius of the Earth and height of the satellite because we need the distance between object and its centre of rotation. (Figure 1).
r= 1250 * [tex]10^{3}[/tex] + 6400 * [tex]10^{3}[/tex] = 7650 * [tex]10^{3}[/tex] meters
T=190 minutes * 60 = 11400 seconds.
We will take pi as 3.1415, let us place values to the equation:
[tex]V = \frac{2*3,1415*7650*10^{3} }{11400}[/tex]
V= 4216,22 m/s
