Solving Doubts on Rotational Motion

AI Thread Summary
The discussion focuses on clarifying formulas related to rotational motion, specifically angular velocity, angular acceleration, and angular displacement. Participants confirm the correctness of the formulas provided for both angular and linear motion, emphasizing that the equations apply under constant acceleration. There is a consensus that the equation v = rω can be used to determine angular velocity if linear velocity and radius are known. Additionally, the conversation touches on the sign convention for velocity when analyzing a rock thrown downward, with participants agreeing that it can be set as either negative or positive for convenience, provided the sign of gravitational acceleration is adjusted accordingly. Overall, the thread effectively addresses common doubts in understanding rotational motion concepts.
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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