Kinetic energy of solid sphere that is rolling

[starstruck_]

Homework Statement

A solid sphere of mass m=2.5 kg is rolling at v=5.3 m/s. Calculate the transitional kinetic energy, rotational kinetic energy, and the ratio of the two (Rotational/ Transitional).

Homework Equations

[/B]
Inertia of solid sphere = 2/5 mR^2 (where R is the radius and m is the mass)
Rotational energy = 1/2Iw^2 (where I is the inertia and w is the angular velocity)
Kinetic/ Transitional energy = 1/2mv^2

These are the only equations I know of, that are relevant to this - along with the conversion from velocity to angular velocity I suppose.

The Attempt at a Solution

I actually have no idea how to work this out.
When we do problems (online), we are supposed to come up with an expression to solve the problem, I am asked for an expression for the transitional energy, an expression for the rotational energy, and an expression for the ratio of the two.

I know that the transitional energy would just be 1/2mv^2, but I'm not sure for the rotational energy. Since r and w are not variables that are given to me, I need other expressions to define the radius and angular velocity and sub those in (assuming I'm on the right path) to create the expression for my rotational energy ( if that makes sense?)

I'm not even sure if that is the right thing to do ^ but I don't know how else I would go about doing this.

Also, I hope it's not too much to ask, but could you please provide your reasoning for any assumptions you make and steps you take? I want to make sure I understand this - there's a part b to this with a hollow sphere that I would like to try on my own. Thank you!EDIT: never mind I'm dumb, figured it out!

 

[BvU]

The wonders an extra relevant equation (in this case $\ v = \omega r\$) can do for you ! Well done !

 

[starstruck_]

The wonders an extra relevant equation (in this case $\ v = \omega r\$) can do for you ! Well done !

XD Thank you!