# Tension Formula

## Tension Formula

There are numerous names used to describe forces, including push, pull, thrust, lift, weight, friction, and tension. In the past, we have categorised and named these forces according to their origin, such as how they are transmitted, or their results. This section will discuss the most significant of these categories along with some intriguing applications. We’ll talk about more instances of forces as well. The Tension Formula will teach the student about one specific type of force. The Latin root of the word “tension” means “to stretch.”

Students can view thorough explanations of the Tension Formula on the Extramarks website and mobile app. The Tension Formula-based solutions make it simple for students to understand the concepts. In order to save students time and effort, all necessary formulas in the solutions to the Tension Formula have been highlighted and mentioned in the article. Students’ questions will be addressed by these notes on the Tension Formula, which are available on the Extramarks website and mobile application. The notes on the Tension Formula are very beneficial for board exams because they can assist students in strengthening their foundations. The article’s examples effectively conveyed the value of the Tension Formula.

### Tension Formula

A force called tension acts along the length of a medium, particularly when the medium in question is flexible, such as a rope or cable. Tendons are flexible cords that transfer muscle forces to other body parts. Any flexible connector, such as a string, rope, chain, wire, or cable, can only be pulled in a direction perpendicular to its length. Consequently, the force that is transmitted by a flexible connector is tension with respect to the connector.

The Tension Formula notes are also available in Hindi for students registered with different boards of education. The Tension Formula notes were written and organised with students in mind, and the conceptual framework is very simple. You can review these Tension Formula answers while making notes for yourself. The Tension Formula is extremely appealing to students because of its diverse, dynamic, and varied nature.

### Definition of tension formula

It’s critical to realise that tension causes the connector to pull. The two ends of the string are pulled apart by the tension force. Newton’s second law makes it simple to demonstrate that the tension in the rope must be equal to the weight of the supported mass. Here, the mass’s weight W and the tension T provided by the rope will be the only external forces acting on it. Hence,

Net force = Fnet=T−W=0,

Here, the tension and weight magnitudes are denoted by T and w, and their signs denote a direction, with up being positive. As a result, the tension is equal to the supported mass’s weight, as might be expected.

### The formula for Tension

Since tension is nothing more than the drawing force that is present when the body is suspended, Its formula will then be as follows:

T = W±ma

Where,

W = The body’s weight

a = The speed of the moving body

m = The body’s mass

Obviously, the tension will be T = W + ma if the body is moving upward.

And the tension will be T = W – ma if the body is moving downward.

As a result, T = W if the tension is equal to the body weight.

The tension force acting on any object can be determined using the tension formula. It helps with a variety of mechanical issues. Since tension is a force, the Newton is its unit (N).

### Solved Examples

Q.1: A 8 Kg mass is dangling at the end of a thread. If the acceleration of the mass is acting as:

(a) 3 m s−2 in the upward direction.

(b) 3 m s−2 in the downward direction.

Then determine the tension in the thread.

Solution:

Known parameters are:

Mass of the hanging body, m = 8 Kg,

g = 9.8 m s−2

(a) Given as a = 3 m s−2

If the body is traveling in the upward direction the tension force is:

T = mg + ma

= 8×9.8+8×1.5

= 90.4 N