Rotational kinetic energy of a wheel

[richyr33]

Homework Statement

I have a wheel with a diameter of 1.4m and the radius of gyration is 0.42m. The wheel has a mass of 13kg. Calculate maximum rotational kinetic energy.

Homework Equations

The Attempt at a Solution

From this all i can do is calculate the moment of inertia which is the mass (x) radius of gyration squared which gives me 2.29kg/m squared.
As far as i am aware i need the angular velocity to calculate the kinetic energy but i have no velocity figures. Any help is much appreciated

 

[Doc Al]

As far as i am aware i need the angular velocity to calculate the kinetic energy but i have no velocity figures.

Without more information, there's not much you can do. Did you present the full problem exactly as given, word for word?

 

[mtayab1994]

You have to know how many turns it took so you can use: $$\frac{1}{2}J_{\Delta}\omega^{2}=M_{\Delta}*\Delta\theta$$ to calculate the maximal angular speed.

Then you can just plug it in and find your answer .

Ps: JΔ of a wheel : $$J_{\Delta}=M*R^{2}$$

 

[richyr33]

yes that is all the information that is in the question. I have previously calculated a maximum linear velocity which i now assume is what i have to use to answer the question even though it makes no reference to it. Many thanks for your replies.

 

[Doc Al]

yes that is all the information that is in the question. I have previously calculated a maximum linear velocity

So there are other parts to this problem? Post the entire problem, start to finish.