I don’t understand what Tangential velocity is. Could you explain it to me?
Tangential velocity is basically the actual speed of the item (if it had a speedometer). In rotational motion, there are 2 velocities, angular and tangential. Angular velocity is how quickly it moves through the angles.
Like the second hand of a clock goes through 360 degrees in a minute and so the angular velocity is 360/60=60 degrees/sec. The angular velocity is the same for all places along the second hand, as the whole hand moves through the degrees at the same rate. But, a point near the middle of the clock travels a much shorter distance in that minute than a point at the tip of the second hand.
Thus the point near the center is traveling slower than the point at the tip, a lower tangential velocity. The same can be seen in a track meet, where the person in the inner lane wouldn’t have to run as fast to complete a lap as someone in the outer lane. To compute tangential velocity you divide the distance travelled by the time. In the case of the clock, it would be the circumference that the tip of the second hand travelled divided by 60 seconds. Given a radius, you can determine circumference. C=2πr. So, the tangential velocity would be C/t , which equals 2πr/t , where t is the time to complete a circle.