Tangential acceleration is the rate of change of velocity at a point in case of non-linear motion. It is always perpendicular to the centripetal acceleration at that point. So, the rate of change of tangential velocity of at a point in a circular orbit is called Tangential acceleration.
Where at = tangential acceleration dv = tangential velocity dt = change in time Tangential acceleration in terms of displacement is
Where s = displacement SI unit of tangential acceleration is m/s2
Example: A body accelerates uniformly on a circular path with a speed of 10 m/s to 20m/s in 4s. Calculate its tangential acceleration. Solution: Given: Initial velocity u = 10 m/s, Final velocity v = 20 m/s, Change in velocity dv = v – u = 20 – 10 = 10 m/s Time taken dt = 4s The tangential acceleration is given by at = dv / dt = 10 / 4 = 2.5 m/s2.
Question: A body accelerates uniformly at 2 m/s2. on a circular path with a speed of from rest. Find the speed in 4s.