A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Tangential Acceleration

Tangential Acceleration

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.


Tangential acceleration of an object travelling in circular motion is the acceleration caused due to change in the magnitude of the object’s velocity. Since in a circular paththe object continuously changes its direction to move in a circle, tangential acceleration is calculated by finding the change in the velocity at a particular instant of time.Tangential acceleration is a vector quantity and therefore the direction of the tangential acceleration at a particular point on the path is always in direction of the tangent drawn at that point on the circle.

Example 1: An object with an initial speed of 25m/sec travels in a circular path and accelerates uniformlychanging its speed to 40msec in 5secs. What is the object’s tangential acceleration?

Given: Initial speed, vi = 25m/sec/

Final speed, vf = 40m/sec

Time, t = 5secs

Tangential acceleration, at = |dv/dt|

Here, dv = change in speed = (vf – vi) and dt = time interval

This gives: at = (40 – 25)/5 ==> at = 15/5 = 3m/sec2

Example 2: A car starts from rest and travels on a circular road with a uniform acceleration. If in a time period of 2secs, it changes its velocity to 12m/sec, then calculate its tangential acceleration.

Given: Car starts from rest ==> Initial speed, vi = 0m/sec

Final speed, vf = 12m/sec

Time, t = 2secs

Tangential acceleration, at = |dv/dt|

This gives: at = (12 – 0)/2 ==> at = 12/2 = 6m/sec2

HAVE A QUESTION? Chat With Our Tutoring Experts Now