Rotational Inertia, Torque and Angular Acceleration (1Q)

  • #1

Homework Statement



. What is the angular acceleration if a force of 3 N is applied perpendicular to the radius of a 5 kg solid sphere that has a radius of 0.6 meters?

Homework Equations


tauv.gif
= r x F
I = mr^2


The Attempt at a Solution


I used
9be08b9254aaacbc0386b26bf137f2ae.png

tried solving for angular acce.
3N/(5kg)(0.6) =10rad/sec^2

Also, if the question had said "hollow sphere" would the moment of inertia be different..(2/3)mr^2 ?
 

Answers and Replies

  • #3
SteamKing
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Homework Statement



. What is the angular acceleration if a force of 3 N is applied perpendicular to the radius of a 5 kg solid sphere that has a radius of 0.6 meters?

Homework Equations


tauv.gif
= r x F
I = mr^2


The Attempt at a Solution


I used
9be08b9254aaacbc0386b26bf137f2ae.png

tried solving for angular acce.
3N/(5kg)(0.6) =10rad/sec^2

Also, if the question had said "hollow sphere" would the moment of inertia be different..(2/3)mr^2 ?
For a solid sphere, I ≠ mR2; I = (2/5) M ⋅ R2

Here is a list of the mass moments of inertia for a variety of different shapes:

https://en.wikipedia.org/wiki/List_of_moments_of_inertia
 
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