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An arbitrary shaped object is rotated about any axis of rotation $\;'w_{0} '$ . If the temperature is increased , then the new value of angular speed $\;w^{'}\;$ depends upon -


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Answer : Coefficient of linear expansion of material
Explanation :
Suppose the moment of inertia of object is $\;I_{0}\;$ & linear dimension is $\;'l_{0}'\;$ . Since the angular momentum of the system is conserved
Since $\;I_{0} \alpha l_{0}^2\;$ and $\;l=l_{0}(1+\alpha \bigtriangleup t)$
$\large\frac{I^{'}}{I_{0}}$$=(2 \alpha \bigtriangleup t +1)$
Therefore , $\;w^{'}=\large\frac{w_{0}}{(1+2 \alpha \bigtriangleup t)}$
answered Mar 13, 2014 by yamini.v
edited Mar 25, 2014 by balaji.thirumalai

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