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Tension Formula

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Define Tension Formula

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When does force take place? If two bodies are in physical contact, then we notice that they apply forces on each other. Well, what’s in it for tension? Have you ever pulled something up or toward you using a rope? If you do, you are putting the rope in tension.

This article will explain how all of these processes are executed? When a body is in contact with a rope, string, cable, or spring, all of these objects are going through tension. We can also calculate the tension in string formula with ease. 


Dimensional Formula of Tension

Tension is a type of force that acts along the length of the medium such as rope or string. A force is necessary to put these objects under tension. Tension is also named something exciting, i.e. action-reaction pair.

(Image to be added soon)

The Tension Dimensional Formula = [M1 L1 T-2]

Tension is nothing, but it’s a force that has got another improved name. Tension acts at both the end of the string (from the above picture). The tension force is available on each point of the string.


Tension Force Formula

You can calculate the tension formula on a body by the summation of the product of mass and gravitational force along with the product of mass and acceleration.

So, the tension equation is equal to T = mg + ma


Tension Force Examples

Let’s solve a question. 

Q. Find the tension on a string if it is dangled with a brick of 10 kg. Acceleration is 3 m/s2 in the upward direction.

Ans: Data are given, m = mass of the brick = 10 Kg

When the brick is getting an upward acceleration, the Tension Formula Physics is expressed as

T (Tension in A String Formula) = mg + ma 

= 10 × 9.8 + 10 × 3 = 128 N


Surface Tension Equation

Surface tension is defined as a phenomenon that happens when a phase has made the interaction with the surface of a liquid. The other phase can also be a liquid. Liquids tend to occupy the least surface area. They behave like elastic sheets.

The formula for the surface tension is:

ℽ = ½ . F/L 

Here, T = Surface Tension of the liquid

L = length on which the force exerts

F = force per unit length


Tension Formula Pulley

(Image to be added soon)

If the wedge of mass (m) is heaved upwards by two forces of F and T, then the mg will be alike the sum of F and T.  So,

2F = mg 

or F = mg / 2


FAQ (Frequently Asked Questions)

1. Find the value of the surface tension of the fluid, if a dragging force is 24 N, and the length of the acting force is 4 m.

Data given, F = 24 N

L = 4 m

We know that surface tension T = F / L

= 24 / 4

= 6 N / m

2. Mention some useful methods that help in the measuring of surface tension.

Here is the list that shows a different measuring system for surface tension:

  • Pendant drop method

  • Stalagmometric method

  • Du Noüy–Padday method

  • Spinning drop method

  • Capillary rise method

  • Pendant drop method

  • Wilhelmy plate method

  • Bubble pressure method

  • Du Noüy ring method

  • Sessile drop method

3. Explain the fact behind the spherical shape of raindrops.

Well, you must have seen raindrops while it’s raining outside. Have you ever noticed its shape? The raindrop seems like it is getting a spherical shape while falling from the sky. The reason is – cohesive force. The cohesive forces between the surface tension and the water molecules create a spherical shape.