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A planet rotates through one complete revolution every 22 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 22 hours. Find the angular velocity of a person standing on the equator.

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Answer: ω=0.00454545… rad/s

Step-by-step explanation:

[tex]\\[/tex]Recall: Angular Velocity ω= 2π/T

[tex]\\[/tex]T is the period and you must convert it to seconds

[tex]\\[/tex]That is ,T = 22 x 3600 (60 seconds make 1 minute and 60 minutes make 1 hr)

[tex]\\[/tex]T = 79,200

[tex]\\[/tex]Therefore: ω = 2π / 79,200 , where π = 180  

[tex]\\[/tex]Substituting the value of T and π into the equation. [tex]\\[/tex]We have  

[tex]\\[/tex]  ω = 2 x 180 / 79,200

[tex]\\[/tex] ω=0.00454545… rad/s

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