Tangential Velocity - Trigonometry Online Tutoring

Tangential Velocity - Trigonometry Online Tutoring Tangential velocity of an object travelling in a circular motion is the instantaneous velocity of the object at a particular instant of time on the circular path. In order to travel in a circular path, the object needs to change its direction at every instant and hence tangential velocity is a vector quantity as it has both magnitude and direction. The magnitude of the tangential velocity is the speed of the object with which itsmoving in a circle, and its direction is along the tangent drawn at that particular point on the circle. Example 1: Roger drives the car on a circular track of radius 6m. What is the tangential velocity of Rogers car if it takes 4secs to complete one circular rotation around the track? Tangential velocity, vt = (Distance travelled)/ (Time taken) Distance travelled on a circular track = Circumference of the circle = 2r This implies: Distance, d = 2 * * 6 = 12 meters. Time, t = 4secs Tangential velocity, vt = 12/4 = 9.42m/sec Example 2: An object moves on a circular path of radius 4m. What is the time taken by the object to cover one circular rotation when its tangential velocity is 8.6m/sec? Tangential velocity, vt = (Distance travelled)/ (Time taken) Distance travelled on a circular track = Circumference of the circle = 2r This implies: Distance, d = 2 * * 4 = 8 meters. Tangential velocity, vt = 8.6m/sec Time taken = (distance)/ (tangential velocity) == time= 8/8.6 = 2.92secs This implies time taken to complete one circular rotation = 2.92secs