The bulk modulus is calculated using the formula, B = (5*104 N/m2)/((4 cm3 – 3.9 cm3)/4 cm3) = 0.125 *104 N/m2. Because of hydrogen bonding, water also resists compression. Let us consider the initial volume of an object is V1. Together with Young's modulus, the shear modulus, and Hooke's law, the bulk modulus describes a material's response to stress or strain. Get Better Let us consider the initial volume of an object is V1. So if the top is positive then the bottom is going to be negative and I don't want to define this thing as a negative number. The formula for bulk modulus is: (1) Where V = initial volume, dP = change in pressure, dV = change in volume. Usually, bulk modulus is indicated by K or B in equations and tables. It can be used to predict compression, calculate density, and indirectly indicate the types of chemical bonding within a substance. Let’s assume that the initial pressure is P1. Powered By Astra Pro & Elementor Pro. whereas Young’s modulus is stiffness in the body, whereas Rigidity modulus or Shear modulus is about the resistance to the shear failure. What is the bulk modulus of a body that experienced a change of pressure of 5*10 4 N/m 2 and its volume goes from 4 cm 3 to 3.9 cm 3?. Despite the immense pressure on water at the bottom of the Mariana Trench, it isn't compressed very much! Bulk modulus is used for predicting the resistance to deformation of an object under variable pressure condition. You go deep-sea diving into the Mariana Trenches. Elastic constants for some of the materials are given in the table: Material: Young’s modulus 10 9 Nm-2: Bulk modulus The bulk modulus in this case would be as shown below.eval(ez_write_tag([[300,250],'riansclub_com-medrectangle-4','ezslot_0',145,'0','0'])); In an ideal case scenario, we need to adjust the pressure to see variable deformation. Bulk modulus of elasticity of a substance is basically defined as the ratio of compressive stress or hydro static stress to volumetric strain and it will be displayed by the symbol K. Bulk modulus of a substance provides the information about the resistance of substance to the uniform pressure. It can be thought of as an extension of the Youngs Modulus into three dimensions. Now this is a little bit of an issue, because we said if we applied pressure the volume is going to get smaller. Uses. Due to this pressure, the volume got decreased and the new volume is V2. Here. The bulk modulus measures a substance’s elastic resistance to change in volume when under uniform loading in all directions. Alright so let's say that I wanted to answer a question, how much pressure is required to produce a 1% decrease in volume of a sample of water? What can you see from this? And that's actually the way that it goes, so if I want to know the pressure I'll say delta p equals 0.01, 1% times b and then I'll jut write it out. How to Calculate Density - Worked Example Problem, An Introduction to Density: Definition and Calculation, What Is Buoyant Force? Right? And then I'll just multiply and I'll get 2.2 times 10 to the seven Pascal's right? In any case, the bulk elastic properties of a material are used to determine how much it will compress under a given amount of external pressure. So we've got a table here, material and then the bulk modulus now as with all moduli, the bulk modulus is measured in Pascal's but it's a really, really, really, really big number.I mean for steel it's going to take a lot of pressure for me to change the volume of steel. What is the bulk modulus of a body that experienced a change of pressure of 5*104N/m2 and its volume goes from 4 cm3 to 3.9 cm3?. Consider this situation. Due to that the Bulk modulus will be equal to (Pressure / 0) which is equal to ∞ . If you have a question or query, do write in the comment section and I will be happy to reply. The value is denoted with a symbol of K and it has the dimension of force per unit area. The Bulk Modulus Elasticity can be calculated as. V: Initial volume of the material in the units of in the English system and N/m2 in the metric system. eval(ez_write_tag([[468,60],'riansclub_com-box-3','ezslot_8',142,'0','0']));When a material or fluid is under pressure from all direction, it changes its volume. These are all most useful relations between all elastic constant which are used to solve any engineering problem related to them. A high value of K indicates a material resists compression, while a low value indicates volume appreciably decreases under uniform pressure. The change in the relative volume of the object when a unit compressive or tensile stress acts on the surface of the object uniformly is called Bulk modulus. Mathematically, it is represented as follows: ÎP: change of the pressure or force applied per unit area on the material, ÎV: change of the volume of the material due to the compression. This implies that glass is more compressible than steel. Bulk Modulus Formula. The bulk modulus is considered a descriptor of elastic properties because a compressed material returns to its original volume once the pressure is released. more. ∆P denotes the change in pressure in pascal, V denotes the actual volume of the object in m3.