LoraleeU486766 LoraleeU486766
  • 26-10-2022
  • Mathematics
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I need to find the angular speed and 0.175 is wrong

I need to find the angular speed and 0175 is wrong class=

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UzzielU738186 UzzielU738186
  • 26-10-2022

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]

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