Solve Angular Velocity & Acceleration - Dimensional Analysis

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SUMMARY

The discussion focuses on solving problems related to angular velocity and angular acceleration using dimensional analysis. The user calculates linear velocity as 2.214 m/s and derives angular velocity as 5.535 rad/sec based on a radius of 0.4m. Additionally, the angular acceleration is computed to be 24.52 rad/s², using the formula that incorporates initial and final angular velocities over a specified time of 0.225756 seconds. The conversation emphasizes the importance of addressing simpler components of the problem before tackling more complex aspects.

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  • Familiarity with the formula for angular acceleration
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etile
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Homework Statement
university
Relevant Equations
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Hi guys,

Please see attached image - it's the part highlighted yellow that I'm stuck on.

Here is what I got for linear velocity and angular velocity. (requested by mod)

Thanks!
c) Angular to velocity
Dia=0.8m .. rad=0.4m
v (linear velocity) = r (radius of circle) * omega (angular velocity)
lets rearrange
linear velo (2.214 m/s = 0.4m* angular)
2.214 / 0.4

=5.535 rad/sec

d) Angular acceleration of the drum
initial angular velo = 0
final angular veloc=5.535
time=0.225756
formula=
angular acceleration = initial angular velo. (0) - final angular acc. (5.535) / t (0.225756)

angular acceleration=24.52 rad/s^2
physics1.JPG
 
Last edited by a moderator:
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PF rules require you to provide your own efforts. What are your thoughts on the part of the problem you are asking about?
 
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Sorry I didn't realise that.

I pretty much don't understand the question and where to go with it
 
In addition to what @Orodruin has said, can I add this?

Before you get onto the 'hard' part of the question, you will need to deal with the ‘easy’ parts, a) – f), correctly.

Ask yourself: “If A (the time taken) is very large, would I expect different answers compared to A being very small?”.

E.g. imagine A = 3600s and then imagine again with A = 1s).
 
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