So this question we're talking about a polio and me got some information about the radius for us and, um, some of the cinematics And our goal is to get the moment of inertia. So let's get the givens down, and then we can discuss how to do the problem. So the force is equal to 13.0, no ends. And the radius is 0.15 meters. And the, um, Omega initial is zero. Yeah, I made a final. A sequel, Teoh. Um 14 rev per man. Who? Those units, my heart like titans. Every time something's in a rev per minute radiance for second. Okay, And then 4.5 seconds. Um and so we want to get I so basically a lot of information. But if you have seen these equations a 1,000,000 times like I have, you can kind of see how to compose it. So whether two equations that help us, um, think about this we have because it's like, three, actually. So we have Turyk is our f and then that's equal toe I Alfa. So we need something about Alfa. Um Alfa, of course, is defined as the changed omega over the change in time. If if Alfa is ah, constant. And so then we have, um we have Omega final minus immig initial make initial zero. So leave it off, and then Delta Time is just the time before I get too far. Lets convert those two radiance per second because that C s I unit, and you want to use s i units in order to make your units workout. So there's two pi rod, per rev. And then oh, I might run out of room. Sorry. And then there is 60 seconds per men, and I didn't have to put that there. So, um, so you can cancel out there the revs and the men's and then we really just need to multiply 14 times to pie divided by 60 million times. You know, sometimes pie divided by 60. You got one point to get our omega. And, um, the units will be like, which is 1.4, um, seven radiance for second. So, you know, I guess I could have done this at a different time. Um, but after I have finished organizing this formula, but I felt compelled to do it now. So hopefully that was not too confusing. Um, okay. And I just wanted to double check my calculations for attempts to pie 60. Wonderful. Okay, so now I have Alphas Omega Fine, over T and I can just sort of plug it. And here, right? And so I can say this is equal to I Omega final divided by time. And now if I want to solve for I let's look at these two parts of the equations. I can just bring this t This will make a final t over to the side so I can say I is equal to our times t divided by Omega final. And look at that. I have all of these givens and I need to find I. So let's go ahead and get multiplying. So I want to do are just 0.15 Let me try to and wasn't actually diameter they gave me. I made that mistake recently. Yes, they did give you the radius. Wonderful. So I want to do 0.15 times 13 kinds. What peas. 4.5 and then you want to divide it by 1.47 because we really didn't know it to two Sig figs. I'm probably irrationally superstitious, and I like to just use this money. Six weeks is possible and then cut down the sig figs at the end by I think that's irrational. Um, so anyway, 0.19 it's what I would get for the moment of inertia. And then so 0.19 And I know it's kilogram meter squared, and I know that's true just because I used all s I So a meter forest would have kilogram meter per second squared. I'm gonna prove it to you, though, because this is I'm a presumably a high school class where you should really still be practicing this kind of stuff. So, um, let's see. So you're so you have a divided by second squared time seconds that gives you one over a second and then you're dividing by this one over second. So then that kind of kills the seconds, and then you just help with kilogram you prescribed so we know it him with the right formula. So I was looking this over. I realized I made a typo in my populations. Um, so I read a type of a slash instead of a dot, but I have I know Moment of initials aren't traditionally, Hugh. Not traditionally, but And the problems I've seen, they're not huge numbers. So the number did kind of make sense, but as I re did this, I actually got a slightly different number. Um, which was how many? 66 do we have? Oh, yeah. We actually, actually, you do have 366 I'm really glad I kept my 36 things around. Um, but now I can see that it's 5.9 seven kilogram meters squared. Tell me, Go ahead and fix that.