Answer: 628.31 miles/h
Explanation:
The equation to calculate the average speed [tex]s[/tex] of an object moving in a circular path is:
[tex]s=\frac{2 \pi r}{T}[/tex] (1)
Where:
[tex]r=200 miles[/tex] is the radius of the circumference
[tex]T=\frac{1}{f}[/tex] is the period, which has an inverse relation with the frequency [tex]f=\frac{1 circuit}{2 h}=0.5 h^{-1}[/tex]. Then [tex]T=\frac{1}{0.5 h^{-1}}=2 h[/tex]
Solving the equation:
[tex]s=\frac{2 \pi (200 miles)}{2 h}[/tex] (2)
[tex]s=628.31 miles/h[/tex] (3)
