Answer:
k = 86,646,076.92 J
Explanation:
We know that:
K = [tex]\frac{1}{2}IW^2[/tex]
where K is the kinetic energy, I is the moment of inertia and W is the angular velocity.
First we have to find the I with the equation:
I = [tex]\frac{1}{2}MR^2[/tex]
where M is the mass and R the radius of the cylinder.
so:
I = [tex]\frac{1}{2}(507 kg)(1.2m)^2[/tex]
I = 365.04 kg*m^2
Now we replace all the data in the first equation as:
K = [tex]\frac{1}{2}IW^2[/tex]
K = [tex]\frac{1}{2}(365.04)(689)^2[/tex]
k = 86,646,076.92 J
