Help needed to convert angular velocity to angular acceleration

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Discussion Overview

The discussion revolves around the calculation of angular acceleration (α) given an angular velocity (ω) of 5 rad/s, mass (M) of 4 kg, radius (R) of 2 m, and a time period (T) of 3 seconds for one revolution. Participants explore the relationship between angular velocity and angular acceleration, as well as the conditions under which these quantities can be calculated.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant states that the angular acceleration is zero unless additional information about the change in angular velocity is provided.
  • Another participant questions whether the inquiry is about angular acceleration or centripetal acceleration, suggesting that the data provided may not be sufficient.
  • Some participants propose converting angular velocity to tangential velocity and then relating it to centripetal acceleration, while noting that angular acceleration is related to tangential acceleration.
  • A participant emphasizes the need for clarification on the motion's conditions, such as whether it is moving with constant speed or starting from rest.
  • There is a discussion about the inconsistency between the given angular velocity and the time period for one revolution, suggesting that if T=3s, the angular velocity should be approximately 2 rad/s.

Areas of Agreement / Disagreement

Participants generally agree that the angular acceleration is zero if the angular velocity is constant. However, there is disagreement regarding the sufficiency of the provided data and whether the focus should be on angular or centripetal acceleration.

Contextual Notes

The discussion highlights potential limitations in the problem statement, including missing assumptions about the motion and the relationship between angular velocity and time period.

sherazi21st
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hi,

I've calculated
ω=5 rad/s

How can I calculate angular acceleration (α)
I've Mass, M=4Kg
Radius, R = 2m
and time taken by each single revolution, T=3sec.
 
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Unless you forgot to tell us something, the angular acceleration is zero!
 
I've only this data, what is missing?
 
sherazi21st said:
I've only this data, what is missing?
How the angular velocity is changing.

Are you sure you want angular acceleration, not centripetal acceleration?
 
I had also the same point but I got this data only. I thought there may be any method to convert this by either convert this ang. vel. to tang. vel. by rw and then it might be converted into angular acc. by using definition of centripetal acc. or something else if I'm not wrong.
 
sherazi21st said:
I had also the same point but I got this data only. I thought there may be any method to convert this by either convert this ang. vel. to tang. vel. by rw and then it might be converted into angular acc. by using definition of centripetal acc. or something else if I'm not wrong.
Angular acceleration is related to tangential acceleration, not centripetal acceleration. But all you gave us is an angular velocity.

You need to describe what you are being asked to find in more detail. What did you measure? What physics topic are you studying now?
 
Doc Al said:
How the angular velocity is changing.

Are you sure you want angular acceleration, not centripetal acceleration?

Can you tell me how will we calculate Centripetal acceleration? Just by converting w into v and then putting v in v^2/r. Am I correct?
 
Doc Al said:
Angular acceleration is related to tangential acceleration, not centripetal acceleration. But all you gave us is an angular velocity.

You need to describe what you are being asked to find in more detail. What did you measure? What physics topic are you studying now?

Dear, I'm studying Angular acceleration and angular velocity. I am given only radius of the horizontal circle in which a mass m is moving and completes one revolution in t seconds. I guess there is fault in the question.
 
sherazi21st said:
Can you tell me how will we calculate Centripetal acceleration? Just by converting w into v and then putting v in v^2/r. Am I correct?
Sure. You can also use this equivalent expression and save yourself the conversion: ac = ω2r
 
  • #10
sherazi21st said:
I am given only radius of the horizontal circle in which a mass m is moving and completes one revolution in t seconds.
Is it moving with constant speed, or does it start from rest (for instance)?
 
  • #11
Doc Al said:
Is it moving with constant speed, or does it start from rest (for instance)?

constant w
 
  • #12
sherazi21st said:
constant w
In that case, the angular acceleration is zero, as pointed out by russ_watters earlier.
 
  • #13
sherazi21st said:
hi,

I've calculated
ω=5 rad/s

How can I calculate angular acceleration (α)
I've Mass, M=4Kg
Radius, R = 2m
and time taken by each single revolution, T=3sec.

It's either T =3s OR w=5 rad/s.
You cannot have both for the same motion, with constant angular speed.

If T=3s, the angular velocity is about 2 rad/s.
 

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