Answer:
Kinetic energy is [tex]0.049\ kg \ m^2.[/tex]
Explanation:
Given :
Moment of inertia of turntable in a microwave oven, [tex]I = 0.040\ kg \ m^2[/tex].
Time period of rotation , T = 4 s.
Now , we know angular frequency , [tex]\omega=\dfrac{2 \pi}{T}[/tex].
Putting value of T in above equation.
[tex]\omega=\dfrac{2 \times 3.14}{4}=1.57\ rad/s.[/tex]
Now, Kinetic energy of rotating object, [tex]K.E=\dfrac{1}{2} I\omega^2[/tex]
Putting value of I and [tex]\omega[/tex] in above equation.
We get,
[tex]K.E=\dfrac{1}{2}\times 0.040\times 1.57^2=0.049\ kg \ m^2.[/tex]
Hence, this is required solution.