An artificial satellite in a low orbit circles the earth every 98 minutes. what is its angular speed in rad/s?

Respuesta :

To finish one orbit it will take 98 x 60 seconds. So; (2 x pi)/(98 x 60) = 1.07 x 10^-3 rad/sec. 

The angular speed of the artificial satellite in the low orbit circling the earth every 98 minutes is 1.07 × 10⁻³rad/s.

Given the data in the question;

Period of the satellite; [tex]T = 98minutes = 5880s[/tex]

Angular speed; [tex]w = \ ?[/tex]

To determine the angular speed, we use the relation between angular speed and time period:

[tex]w = \frac{2\pi }{T}[/tex]

Where ω is the angular velocity and T is the time period in seconds.

We substitute our value into the equation

[tex]w = \frac{2\pi }{5880s} \\\\w = 1.07 * 10^{-3}rad/s[/tex]

Therefore, the angular speed of the artificial satellite in the low orbit circling the earth every 98 minutes is 1.07 × 10⁻³rad/s.

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