KE=(moment x angular velocity^2)/2
angular velocity = 2(pi)/t
so angular velocity = 2*(pi)/4.6 = 1.3657 radians
KE = (0.038*1.3657^2)/2 = 0.0354 Joules
Round answer as necessary
The kinetic energy of the turntable in the microwave will be equal to
0.0354 J
The rotating kinetic energy is defined as when the body rotates it possesses the energy due to its angular velocity this energy is called the rotating kinetic energy.
It is given in the question :
The moment of inertia [tex]I=0.038\ kg-m^2[/tex]
The time of rotation [tex]t= 4.96\ s[/tex]
Now the kinetic energy will be calculated as:
[tex]KE =\dfrac{1}{2} \times I\times w^2[/tex]
The angular velocity w will be calculated as:
[tex]w=\dfrac{2\pi}{t} =\dfrac{2\pi}{4.6} =1.3657\ rad[/tex]
Now put the value of angular velocity in the formula;
[tex]KE=\dfrac{1} {2}\times 0.038\times (1.3657)^2=0.0354\ J[/tex]
Thus the kinetic energy of the turntable in the microwave will be equal to 0.0354 J
To know more about rotational kinetic energy follow
https://brainly.com/question/25803184
