Since we have that the speed is 10°/sec, we can convert that in radians per second as follows:
[tex]\begin{gathered} 360\text{degr}ee=2\pi\text{ radians} \\ \Rightarrow\frac{2\pi}{360}=\frac{x}{10} \end{gathered}[/tex]
We need to solve that equation for x, where x is given in radians:
[tex]\begin{gathered} \frac{2\pi}{360}=\frac{x}{10} \\ \Rightarrow x=\frac{\pi}{18} \end{gathered}[/tex]
Therefore:
[tex]\frac{10\text{degr}ee}{\sec}=\frac{\pi}{18}\frac{\text{rad}}{\sec }[/tex]
