Solving Doubts on Rotational Motion

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Discussion Overview

The discussion revolves around doubts related to rotational motion, specifically focusing on the formulas for angular velocity, angular acceleration, and angular displacement, as well as their linear counterparts in rotational contexts. Participants explore the application of these formulas and their relationships to linear motion concepts.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant lists three formulas for angular velocity, angular acceleration, and angular displacement, seeking confirmation on their correctness.
  • Another participant confirms that the formulas are indeed for angular motion and notes that the variables change from linear to angular (e.g., u becomes ω, a becomes α, x becomes θ).
  • A participant inquires whether the equation v = rω can be used to find angular velocity, to which another participant affirms this is possible if linear velocity and radius are known.
  • Discussion includes a side note about the sign convention for velocity when a rock is thrown downward, with participants noting that either positive or negative can be used depending on the context.
  • Clarification is provided that the formulas for angular motion apply under constant acceleration, similar to linear motion, with specific conditions mentioned for certain formulas.

Areas of Agreement / Disagreement

Participants generally agree on the application of the formulas for rotational motion, but there is no consensus on the best approach to sign conventions in the context of downward motion.

Contextual Notes

Some formulas are noted to apply only under specific conditions, such as constant acceleration or constant angular velocity, which may not be universally applicable in all scenarios.

Who May Find This Useful

Students and individuals seeking clarification on the principles of rotational motion and the application of related formulas in physics.

freshbox
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Hi guys, I have a few doubts on Rotational Motion and hope someone can help me out.

This 3 formula is for finding angular velocity, angular acceleration and angular displacement right?
ω=ωi+αt
ω²=ωi²+2αδ
δ=ωit+1/2αt²



And this 3 formula is for finding the linear velocity/acceleration/displacement in a angular shape?
s=rδ
v=rω
α=rα



Thanks.
 
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If you have no problems on linear acceleration then then only thing that changes in rotational motion is that u becomes ω , a becomes α , x becomes θ .

In both of your questions , the answer is yes .
 
Thank you ZxcvbnM2000 for the reply.I want to ask can I use this equation v=rω to find the angular velocity as well?
 
yes of course as long as you know the linear velocity and the radius ;p
 
Ok thank you for the explanation and help.

Out of topic abit, if a rock is thrown downward from the top of a building, the velocity I can set it as -ve or +ve, and usually people set it to +ve for the working to be easier, am I right?
 
hi freshbox! :smile:
freshbox said:
This 3 formula is for finding angular velocity, angular acceleration and angular displacement right?
ω=ωi+αt
ω²=ωi²+2αδ
δ=ωit+1/2αt²

only for constant acceleration (just like the linear case) :wink:
And this 3 formula is for finding the linear velocity/acceleration/displacement in a angular shape?
s=rδ
v=rω
a=rα

s=rδ works only for constant ω

the other two always work :smile:
freshbox said:
… if a rock is thrown downward from the top of a building, the velocity I can set it as -ve or +ve, and usually people set it to +ve for the working to be easier, am I right?

yes, so long as you're careful to adjust the sign of g to match :wink:
 
thank you tiny-tim for the explanation.
 

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