A) 5367 rpm
B) 6000 rpm
C) 9360 rpm
D) 12000 rpm
Correct Answer: A
Solution :
\[\frac{1}{\omega _{n}^{2}}=\frac{1}{\omega _{1}^{2}}+\frac{1}{\omega _{2}^{2}}\] \[\frac{1}{{{100}^{2}}}+\frac{1}{{{200}^{2}}}=\frac{1.25}{{{10}^{4}}}\] \[{{\omega }_{n}}=89.433\,\,Hz\,\,or\,\,5367\,\,rpm\]
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