My Math Forum How Earth maintain its same angular momentum even after sun disappears?

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 July 11th, 2019, 03:53 PM #11 Senior Member   Joined: Jun 2019 From: USA Posts: 309 Thanks: 160 You know Newton's Law, $\displaystyle \vec{F} = d(m\vec{v})/dt$, right? With some cross-products and a little calculus, you can derive the rotational equivalent, $\displaystyle \vec{\tau} = {d(I \vec{\omega})}/{dt}$. Basically, moments (or torques) transfer angular momentum similarly to how forces transfer linear momentum.
July 11th, 2019, 04:07 PM   #12
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 Originally Posted by Micrm@ss What is the relation between torque and angular momentum?
Sorry, mm. I thought it was the OP asking, not a leading question.

 July 11th, 2019, 06:48 PM #13 Senior Member   Joined: Aug 2014 From: India Posts: 476 Thanks: 1 torque and angular momentum; Torque required to stop angular momentum.
July 11th, 2019, 08:46 PM   #14
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 Originally Posted by Ganesh Ujwal torque and angular momentum; Torque required to stop angular momentum.
Can you express that more mathematically? Hint: the precise form already appeared here.

July 11th, 2019, 09:45 PM   #15
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 Originally Posted by Micrm@ss Can you express that more mathematically? Hint: the precise form already appeared here.
$\displaystyle Torque = \large\frac{change\;in\; angular\; momentum}{change\; in\; time}$

 July 12th, 2019, 12:49 AM #16 Senior Member   Joined: Oct 2009 Posts: 884 Thanks: 340 Right! So what happens if Torque is zero?
July 12th, 2019, 06:51 PM   #17
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 Originally Posted by Micrm@ss Right! So what happens if Torque is zero?
Angular momentum is conserved.

 July 12th, 2019, 11:20 PM #18 Senior Member   Joined: Oct 2009 Posts: 884 Thanks: 340 So that should answer your question. Thanks from Benit13

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