Answer:
k=[tex]\frac{1}{2}L^2/I[/tex]
Explanation:
we know that:
L = IW
where L is the angular momentum, I the moment of inertia and W is the angular velocity.
and Also we know that:
k=[tex]\frac{1}{2}IW^2[/tex]
Now, we solve the first equation for W and get:
W = L/I
Replacing W on the first equation we get:
[tex]k=\frac{1}{2}I(\frac{L}{I})^{2} =\frac{1}{2} \frac{L^{2}}{I}[/tex]
