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  • A wheel of mass has a moment of inertia of <img alt="160 \mathrm{~kg}-\mathrm{m}^2" src

A wheel of mass 10 \mathrm{~kg} has a moment of inertia of 160 \mathrm{~kg}-\mathrm{m}^2 about its own. axis, the radius of gyration will be -
 

Option: 1

\mathrm{10 \mathrm{~m}}
 


Option: 2

8 \mathrm{~m}
 


Option: 3

6 \mathrm{~m}
 


Option: 4

4 \mathrm{~m}


Answers (1)

best_answer

Given,\mathrm{ I=160 \mathrm{~kg}-\mathrm{m}^2 }

          \mathrm{ m=10 \mathrm{~kg} }

          \mathrm{ k=?}
use,\mathrm{ I=m k^2 }

\mathrm{ k^2=\frac{I}{M}=\frac{160}{10} }

\mathrm{ k=\sqrt{16}=4 \mathrm{~m} }

Hence option 4 is correct.



 

Posted by

Gautam harsolia

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