A) 35.28 rad/sec
B) 14.08 rad/sec
C) 28.16 rad/sec
D) 24.08 rad/sec
Correct Answer: C
Solution :
[c] We shall apply conservation of angular momentum; that is \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\] \[\Rightarrow \]\[m{{v}_{1}}{{r}_{1}}=m{{v}_{2}}{{r}_{2}}\,\,\,\,\Rightarrow {{\omega }_{1}}{{r}_{1}}^{2}={{\omega }_{2}}{{r}_{2}}^{2}\] \[\Rightarrow \]\[44\times {{(0.8)}^{2}}={{\omega }_{2}}\times {{(1)}^{2}}\] \[\Rightarrow \]\[{{\omega }_{2}}=44\times 0.8\times 0.8=28.16\,\,radian/\sec \]
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