How do you find the torque from a force? Remember that the torque from a force is gonna be equal to theįorce exerting that torque times R, the distance from the axis to the point where the force is applied. What's new here? Well remember, we want to relate torque to the angular acceleration, so let's write down the torque formula. Well we know that the net force has to be equal to the mass of the object times the acceleration of the object. One force on this object, and it's this force here. And let's make it simple too in this way, let's say this force is the net force. Let's say the angle'sĩ0 so that sine theta will end up being one Times F times sine theta, but let's make it simple. So let's say this is theįorce causing the torque, we know how to find it now. So in order to go angularlyĪccelerate something you need a force that's tangential because this force is So how do we do this? In order to have an angular acceleration we're gonna need a force that's Just like we determine regular acceleration by knowing the force and Newton's second law. Torque we could determine the angular acceleration So let's do this, let'sĭerive this formula so that if we know the So it would be speeding up in its rotation or it'd be slowing down in its rotation. I want to derive this rotational analog of Newton's second law for an object that's rotating in aĬircle like this cue ball. So that's what I want to do in this video. The angular acceleration is just like up here by knowing force, we could tell what the Then by knowing the torque we could figure out what This rotational analog of Newton's second law, Torque on top 'cause torque is gonna cause something And you could probably guess that this angularĪcceleration's gonna have probably something with Of angular acceleration for a certain amount of torque. Something that would tell us alright, we'll get a certain amount What we would like to have is some sort of rotational analog of this formula. We know from Newton's second law that the acceleration is So we know how to find the torque now, but who cares? What good is torque? What good is it gonna do for us? Well here's what it can do.
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