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Tension Formula

Tension Formula: Explore more about the Tension formula with solved examples.

Tension formula

The force exerted to the length of a flexible region such as a rope, cable, or chain is known as tension formula force.

It refers to force pulled and transmitted axially by means of a string, cable, chain, or other similar one-dimensional continuous object, or by each end of a rod, or another similar three-dimensional object; tension may also be described as the action-reaction pair of forces acting at each end of the aforementioned elements.

Tension force

In Latin, “tension” signifies “stretching.” In physics, the force exerted to the length of a flexible region such as a rope, cable, or chain is known as tension formula force. We know that a tension force indicates a push or pull. In physics, we encounter several sorts of forces, such as weight, normal force, push, and impact. Depending on how it operates and communicates, the force or power may be contact or non-contact. Tension force is the contact force conveyed by a length of flexible material.

  • Total energy is: Fnet = T − W = 0

  • T = W ± ma

  • If the body is moving up, the tension is called the T = W + ma

  • When the body goes down T = W – ma

Tension, also known as the “action-reaction pair’s” power, applies to each component of an adaptive item. If we examine cross-linking, the string portion on one side of the cross-section will use the force of action on the string portion on the opposite side of the cross-section. Likewise, the second segment of the cable utilizes the reaction force of the previous segment. 

In every cross-section, tension forces may be seen on both sides. At the ends, the rope will exert pressure on the thing tied to it (gravity), and the object will employ the rope’s reaction force to pull itself closer to the rope. This force’s direction correlates to the length of the rope.

When atoms or molecules are driven apart at the atomic level and accumulate potential energy while a restoring force is still present, the restoring force may generate tension. 

In the case of bodies suspended by a chain, cable, string, etc., tension may be clearly explained. It is symbolized by the letter T (occasionally also, denoted as Ft).

Solved Examples

Q. A lightweight and non-extendable string support a 15-kilogram load dangling from its bottom end. What is the string tension if the top end of the string is securely fastened to a hook on the roof?

A. Due to the fact that the body is not moving but is instead merely dangling, the tension of the string is directly proportional to the weight of the body.

m = 15 kg

T = W = mg = 15 × 9.8 = 147 N

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Frequently asked questions

Get answers to the most common queries related to the Tension Formula.

What is the tension of a string?

Ans. When there is no bend in the string, such as those caused by vibrations or pulleys, the tension along the strin...Read full

Is tension equal to weight?

Ans. This needs to have a force of T= Newtons. Notice that the tension is the same as the weight only when the accel...Read full