My Math Forum How Angular Velocity of Earth is 2π/T?

 Physics Physics Forum

 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 timey-wimey stuff.
Quote:
 Originally Posted by Ganesh Ujwal 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 $\displaystyle \large \frac {2π}{T}$?
It's essentially a definition:
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

 Tags 2π or t, angular, earth, velocity

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Ganesh Ujwal Physics 17 July 12th, 2019 11:20 PM aaronmooy47 Physics 6 February 2nd, 2017 08:15 PM unistu Algebra 2 January 7th, 2015 02:09 AM quarkz Calculus 0 April 18th, 2014 05:34 AM lothia Algebra 0 April 9th, 2009 01:27 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top