July 10th, 2019, 07:15 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 470 Thanks: 1  How Angular Velocity of Earth is 2π/T?
moment of inertia of the earth; $\displaystyle I = \large \frac {2}{5} \normalsize MR^{2}$ Angular Velocity of Earth ;$\displaystyle ω = \large \frac {2π}{T}$ Here Earth is considered as solid sphere. I didn't understand how Angular Velocity of Earth is $\displaystyle \large \frac {2π}{T}$? 
July 10th, 2019, 11:59 AM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,267 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
The period of motion is defined as the amount of time for a cycle to be complete. We label this time as T. Then the frequency is defined as $\displaystyle f = \dfrac{1}{T}$ and the angular frequency is $\displaystyle \omega = 2 \pi f = \dfrac{2 \pi}{T}$. this is true for any cyclic system, not just rotation. Dan  

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2π or t, angular, earth, velocity 
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