Question

I need to find the angular speed and 0.175 is wrong

Answer 1

Since we have that the speed is 10°/sec, we can convert that in radians per second as follows:

`\begin{gathered} 360\text{degr}ee=2\pi\text{ radians} \\ \Rightarrow(2\pi)/(360)=(x)/(10) \end{gathered}`

We need to solve that equation for x, where x is given in radians:

`\begin{gathered} (2\pi)/(360)=(x)/(10) \\ \Rightarrow x=(\pi)/(18) \end{gathered}`

Therefore:

`\frac{10\text{degr}ee}{\sec}=(\pi)/(18)\frac{\text{rad}}{\sec }`