the turntable in a microwave oven has a moment of inertia of 0.040 and rotates continuously, making a complete revolution every 4.0s. what is its kinetic energy

Respuesta :

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.