# Bulk Modulus Formula

## Bulk Modulus Formula

The material’s Bulk Modulus Formula characteristic has an impact on how elastic it is. The Bulk Modulus Formula is one of the ways to gauge a solid’s mechanical characteristics. Young’s modulus and Shear’s modulus are more examples of elastic moduli. The Bulk Modulus Formula characteristics of a material are always used to determine how much a given amount of external pressure will cause it to compress. Finding the ratio of the pressure change to the fractional volume compression is crucial.

The proportional change in a body’s volume caused by a single compressive or tensile stress operating evenly across the surface is known as the Bulk Modulus Formula.

The Bulk Modulus Formula defines how a material responds to homogeneous compression. The Bulk Modulus Formula is a fact that external pressures are evenly distributed throughout an object’s surface when they are perpendicular to the surface. This might also happen if an item changes volume without changing shape when submerged in a fluid.

The ratio of the magnitude of the change in the quantity of force, F, to the surface area is what we refer to as the volume stress or P. Any liquid’s compressibility is gauged by its Bulk Modulus Formula. The Bulk Modulus Formula was calculated by experts as the amount of pressure needed to cause a change in the volume of one unit.

## Bulk Modulus Formula Definition

The bulk modulus of a material is related to its elastic behaviour. It is one of the ways to measure the mechanical characteristics of solids. Other similar elastic modulii include Young’s modulus and Shear modulus. In all circumstances, a material’s bulk elastic characteristics are utilised to determine how much it will compress under a given external pressure. It is critical to determine the pressure-to-fractional volume compression ratio.

The Bulk Modulus Formula of a given material is the ratio of its volumetric stress to its volumetric strain when the deformation of the material is within its elastic range. Simply said, the Bulk Modulus Formula is nothing more than a numerical constant used to quantify and explain solid or liquid elastic characteristics when pressure is applied to all of its surfaces. One way to assess the mechanical characteristics of solids is to look at their Bulk Modulus Formula of elasticity. Young’s and Shear’s moduli are examples of additional elastic modules.

In any instance, how much a material will compress under a specific level of external pressure is determined by the bulk elastic characteristics of the material.

### Formula of Bulk modulus

Bulk Modulus Formula is determined by the relationship between the amount of pressure exerted and the associated proportionate decrease in material volume.

The Bulk Modulus Formula is denoted mathematically as follows:

$$K = \frac{ V × Δ P}{Δ V}$$



Where,

 K Bulk Modulus δ P Change in pressure δ V Change in volume V Original volume

### Solved Examples on Bulk Modulus Formula

Example 1: What is the bulk modulus of a body whose volume changes from 4 cm3 to 3.9 cm3 while its pressure changes by 5*104 N/m2?

Answer: Using the formula, one may get the bulk modulus.

B = ΔP /(ΔV/V)

B = (5*104 N/m2)/(4 cm3 – 3.9 cm 3)/4 cm 3 = 0.125 * 104 N/m2

B = 1.25 *104 N/m2