We will want to be using radians for this question so that we can calculate arc lengths easily.
The angular velocity of the earth is \(360^{o}/24\ hr=\frac{2\pi}{24\ hr}=\frac{\pi}{12}/hr\)
The satellite tangential velocity is the distance from the earth times the angular velocity, which is
\(5\times10^{7}\ m*\frac{\pi}{12}/hr\approx1.309\times10^{7}\ m/hr\)
For meters per second, we divide by the number of seconds in an hour, which is 3600:
\(1.309\times10^{7}\ m/hr*\frac{1\ hr}{3600\ s}\approx3636\ m/s\)
