Bulk Modulus Formula is given as K = ΔP/(ΔV/V).‘K’ or ‘B’ are used to denote bulk modulus which is measured in Pascals.Bulk modulus is used to measure the incompressibility of a material.The volume of material reduces when pressure is applied and returns to its initial volume when the pressure is removed.It describes the elastic properties of a solid or fluid when it is under pressure on all surfaces.Bulk Modulus is one of the three mechanical properties of solids along with Young’s Modulus and Shear Modulus.Here are the handwritten notes on the Mechanical Properties of Solids and related concepts: Handwritten Notes on Class 11 Mechanical Properties of Solids The pressure exerted = P = 4 x 10 4N/m 2.Compute the change in volume of 200ml water that is subjected to a stress of 2MPa.Įxample 2: Using Bulk Modulus Formula, calculate the bulk modulus of a body that practices a change in stress of 4x10 4N/m 2 and its volume changes from 5cm 3 to 4.8cm 3. Since the applied force and the restoring force are equal in. Here are a few solved examples on Bulk Modulus to understand the formula better:Įxample 1: The bulk modulus for water is given 2.1GPa. The stress is defined as the restoring force acting on a unit area. Pressure at Deep Point = 1.09×10 8 N/m 2ĭerivation Relation Between Elastic Constants.If we try to find the result of the value of a diamond and compare it with the value of glass and steel, then elasticity, ability of a deformed material body to return to its original shape and size when the forces causing the deformation are removed. This indicates that glass is more compressible than steel. Here, k for steel is more than three times the value of K for glass. For instance, the value of K for steel is 1.6×10 11 N/m 2 and the value of K for glass is 4×10 10N/m 2. Read More: Important MCQs on Mechanical Properties of Solidsīulk modulus is used to measure the incompressibility of a material. Thus, the bulk modulus of the material is 1.25 x 10 4 N/m 2. An elastic demand or elastic supply is one in which the elasticity is greater than one. Elasticities can be usefully divided into five broad categories: perfectly elastic, elastic, perfectly inelastic, inelastic, and unitary. K = (5 x 10 4 N/m 2) / ((4 cm 3 – 3.9 cm 3)/4 cm 3) = 0.125 x 10 4 N/m 2 The price elasticity of supply is the percentage change in quantity supplied divided by the percentage change in price. Final Volume of the Material = 3.9 cm 3.Viscoelastic solids may exhibit both shear viscosity and bulk viscosity. Initial Volume of the Material = 4 cm 3 Such materials are best described as viscoelasticthat is, possessing both elasticity (reaction to deformation) and viscosity (reaction to rate of deformation).Change in the Pressure = 5 x 10 4 N/m 2. Example: Calculate the bulk modulus of a material that experienced a change of pressure of 5 x 10 4 N/m 2 and its volume goes from 4 cm 3 to 3.9 cm 3.
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