Circular motion equations12/10/2023 ![]() ![]() Get in the numerator, we have been rotated in Which is our final time minus our initial time, To be over our change in time, which is six seconds, Pi radians minus our initialĪngle, pi over two radians. And so what is this going to be? Well this is going to be To our angular displacement, which we could say is delta theta, and it is a vector quantity. Angular velocity, you might remember is just going to be equal Alright, well let's goĪngular velocity first. See if you can figure out a relationship between the two. Out both of those things, and for extra points, Which we denote with omega? And then I want you to figure out what is the speed of the ball? So what is the speed? See if you can figure Want you to calculate is what is the angular velocity of the ball? And actually, it would be the ball and every point on that string. So now that we can visualize or conceptualize what's going on, see if you can pause this ![]() Visualize how that happens, let me see if I can rotate And so after three seconds, theīall is now right over here. Is equal to six seconds, T is equal to six seconds, We know that at time isĮqual to three seconds, our angle is equal to, theta is equal to pi over two radians, which we've seen in previous videos. Let's just say for the sake of argument, the length of the string is seven meters. ![]() Move the ball around, it would move along this blueĬircle in either direction. Let's say this is connected with a string. So let's start with thisĮxample where once again we have some type of a ball tethered to some type of center of See if we can connect that to the notion of speed. Going to do in this video is look at the tangible example where we calculate angular velocity, but then we're going to ![]()
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