in this video I will talk about the rotation of a flight wheel so we are beefing of flywheel a flywheel is simply a spinning a happy a spinning disk and it is rotating counter clockwise and it starts from the rest and strips out an angle of 65 Radian in 15 seconds now we need to find out what is the average speed the ambulance speed of the flight will the direction of the angular speed the tangential speed at different locations so let's start with this one as the flywheel is starting from rest its initial angle speed Jareau and it said it says that it strips out an angle of 65 Radian so the angle that it has rotated is 65 trillion at the time it Texas 15 second from this information will calculate the average angular speed so what is the average umbrella speed it is the change in angle divided by the change in time this is simply like calculating the average linear speed how do you calculate the average linear speed the change in distance divided by change in time the distance here is equal to the angle or equivalent to the angle and the time is exactly the same thing so if you know the calculate average speed in linear motion you simply have to change the Delta X by the Delta Theta so X is now theta and that's it then you look at the annual speed this change in theta means final angle minus initial angle and a final time minus initial time the final times the fibrous only the final angle is sixty five Radian all the time this angle has to be invariant do not change to duty whenever you use the equation it has to be in Radian so 65 Radian this is zero this is zero because it is starting from rest I will choose that as an our reference angle so theta this is 15 seconds and the initial time is zero again so four point three three Radian per second is the average in the speed now how do you calculate the or find out the direction of the angular velocity in order to do that we have to use a rule called the right hand thumb rule or right hand curl rule so in this case what we do we curl our finger in the direction of motion in the direction of rotation and then our thumb points out the direction of the rotation or the dot sorry the direction of the end speed again fingers curl is in the direction of rotation and thumb points in the direction of angular velocity so for example in this case this one is rotating counterclockwise so our finger will call in this direction and the thumb will point out in the above the direction that means the angular speed is a vertically upward that's what it says here or I'll say angle speed and velocity is vertically upward oh poor and now we'll calculate the tangential speed Oh so what is the difference between the angular velocity or a tangent cell velocity or tendon cell speed here I'm interchanging sometimes using the speed and the velocity but as far as our motion is one dimension it doesn't matter so the tangential speed is the speed at one particular location so and the direction is tangent at that point so if I need to find out the tangential velocity so this will be the direction of the tangents at a velocity and how do I calculate the magnitude so there is AZ formula for doing that so the tangents are the speed as that tangents are the speed here I'm calling a speed because we are not concerned about the direction so the tangents at a speed is simply equal to R times Omega remember the two things took Omega the angular speed at any point is exactly the same because each point makes out one complete rotation exactly in the same time at each point here mix out one complete rotation exactly in the same time so that angular speed is same for all the points but the angular velocity is different for example this point sweeps out more distance compared to this point here exactly in the same time this one has to travel more distance that was the linear velocity at this point is greater than at this point or the tangential velocity of this point is greater compared to this point why because this point has traveled more distance in the same amount of time if I compare to this point or in other words the tangential speed is the radius dependent or at a greater distance from the flywheel if they have more tangents at a speed or Omega the v1 now at the different location five-centimeter t1 have recalled that as a v1 or the r1 times Omega the radius is 5 centimeter and I'm changing into the meter and Omega as I mentioned Omega is constant Omega is not changing the time allotted speed is the same for each point it doesn't matter where you take the angular speed is exactly the same which is four point three three I think it should be three four point three three so to do the lab for point three three times five explore instead of minus two or to get it to the point two two so that's the I'm gonna speed also the tangents at the speed at five centimeter and again the same way if we calculate what I get is the angular speed could be at a point four four now for three I think this would be four three here okay so this is how we calculate the tendon to the speed and the angular velocity remember the angler velocity is not the position dependent but the tangent cell speed is the position dependent so this is it from the rotation of a flywheel lecture if you have any questions write down your questions in the comment section below and do not forget to like share & subscribe the channel thank you very much