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) $0.75kgm^{2}$
Show Answer
Answer:
Correct Answer: C
Solution:
[c]
$E _{r}=\frac{1}{2}I{{\omega }^{2}}\Rightarrow $ $I=\frac{2E _{r}}{{{\omega }^{2}}}=\frac{2\times 360}{30\times 30}=0.8kgm^{2}$