Moment of Inertia - Swinging arms

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Homework Help Overview

The discussion revolves around the concept of moment of inertia in the context of swinging arms, specifically focusing on the relationship between angular velocity, tangential velocity, and torque in rotational motion.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the calculation of angular velocity and its implications for tangential velocity. There is a discussion about the correct use of symbols in equations related to torque and angular acceleration.

Discussion Status

Participants are actively questioning the correctness of the original poster's calculations and notation. Some have provided clarifications regarding the relationships between torque, moment of inertia, and angular acceleration, indicating a productive exchange of ideas.

Contextual Notes

There appears to be confusion regarding the use of specific symbols in equations, as well as the assumptions made in the calculations presented by the original poster.

elemis
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momi_12.jpe


My workings are below :

ImageUploadedByPhysics Forums1366692390.758620.jpg


Following the calculation of w I use v=wr where r= 3 and calculate the tangential velocity.

It's then easy to see that a speed of 340 (Mach 1) will be attained in 128 s

Is this correct ?
 
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In your handwritten working, you've written omega instead of omega-dot, but otherwise it all looks correct.
 
haruspex said:
In your handwritten working, you've written omega instead of omega-dot, but otherwise it all looks correct.

I don't understand you. Torque = Iw , correct ?
 
elemis said:
I don't understand you. Torque = Iw , correct ?

No, it is

τ = Iα

where α is the angular acceleration
 
Last edited:
hms.tech said:
No, it is

τ = Iα

where α is the angular acceleration
... and although the OP says "I use v=wr ", what has actually been used is a = αr.
 

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