Respuesta :

Answer:

1037 m/s

Explanation:

The linear speed of an object in circular motion is given by:

[tex]v=\omega r[/tex]

where

[tex]\omega[/tex] is the angular velocity

r is the orbital radius

For the Moon, we know that

[tex]r=3.85\cdot 10^8 m[/tex] is the orbital radius

While we know also its orbital period:

[tex]T=27 days \cdot (24\cdot 3600)=2.33\cdot 10^6 s[/tex]

So its angular velocity is

[tex]\omega = \frac{2\pi}{T}=\frac{2\pi}{2.33\cdot 10^6}=2.69\cdot 10^{-6} rad/s[/tex]

And therefore, the linear speed is

[tex]v=\omega r=(2.69\cdot 10^{-6})(3.85\cdot 10^8)=1037 m/s[/tex]

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