# Tangential Acceleration Formula

## Tangential Acceleration Formula

The subject of Physics comes with a number of formulas, and these are applicable in a number of concepts throughout the classes. The Tangential Acceleration Formula is one of the important concepts in the subject. Students can tend to rely on the textbooks and teachers for having a good understanding of topics like Tangential Acceleration Formula, however, these sources might not be enough. Teachers are not always able to resolve all the doubts in class, and students might feel intimidated of the subject. Topics like Tangential Acceleration Formula can be learned by the students in a better manner when they support the learning from textbook with other sources. These sources can help them have a solid foundation of the subject before the examinations.

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Tangential Acceleration Formula

The concept of tangential acceleration is used to measure the change in the tangential velocity of a point with a specific radius with the change in time. The linear and tangential accelerations are the same but in the tangential direction, which leads to the circular motion. Tangential acceleration is defined as the rate of change of tangential velocity of the matter in the circular path.

Formula for Tangential Acceleration In Terms Of Distance

Students can also learn about the Tangential Acceleration In Terms Of Distance on the Extramarks platform.

Notations Used In The Formula

at is the tangential acceleration

Δv is the change in the angular velocity

Δt is the change in time

v is the linear velocity

s is the distance covered

t is the time taken

The formula of tangential acceleration is used to calculate the tangential acceleration and related parameters and the unit is m/s2

Linear Acceleration Formula

Linear acceleration is defined as the uniform acceleration caused by a moving body in a straight line. There are three equations that are important in linear acceleration depending upon the parameters like initial and final velocity, displacement, time and acceleration.

Notations Used In The Formula

u is the initial velocity

a is the acceleration

t is the time taken

v is the final velocity

s is the acceleration

Solved Example

Example 1:

With a speed of 20 m / s to 80 m/s in 30s, a body accelerates uniformly on a circular path. Calculate the acceleration to tangential.

Solution:

Given parameters

vi = 20 m/s

vf = 80 m/s

dv = vf – vi = 80 – 20 = 60 m/s

dt = tf – ti = 30 – 0 = 30sec

The formula of tangential acceleration is

at = dv / dt

at = 60 / 30

at = 2 m/s2