Rotational Motion Question 212

Question: A fly wheel rotating about a fixed axis has a kinetic energy of 360 joule when its angular speed is 30 radian/sec. The moment of inertia of the wheel about the axis of rotation is

Options:

A) $0.6kg/m^{2}$

B)$0.15kgm^{2}$

C) $0.8kgm^{2}$

D) $0.75kgm^{2}$

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Answer:

Correct Answer: C

Solution:

[c]

$E _{r}=\frac{1}{2}I{{\omega }^{2}}\Rightarrow $ $I=\frac{2E _{r}}{{{\omega }^{2}}}=\frac{2\times 360}{30\times 30}=0.8kgm^{2}$



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