Elastic potential energy formula of a stretched wire. The total work done in stretching the wire from 0 to l is.

Elastic potential energy formula of a stretched wire. A uniform wire of Youngs modulus Y is stretched by a force within the elastic limit. 8), we have F = YA × (l/L). In this article, we will study about elastic potential energy formula, its derivation and applications of elastic potential energy in day-to-day life. When we think of potential energy, often the first thing that we can imagine is an object high in the air and just starting to fall. Potential energy is the form of energy that an object possesses by virtue of its position. (1) From Young’s modulus of elasticity, force becomes, Y = F A × L l = YAl L . ↪ Then the longitudinal strain in the wire and the tensile stress ↪ If the wire is stretched through a small extension dl, the elementary work done is↪ The total work done in stret Jul 12, 2023 · The storage and release of potential energy in the wire during stretching and subsequent release can be utilised in energy-efficient devices. in a spring) when it is stretched or compressed Therefore, for a material obeying Hooke’s Law, elastic potential energy is equal to: Where: k = spring constant of the spring (N m –1) Δ x = extension of the spring (m) This can also be written as: Where: F = restoring force (N) This A metallic wire is stretched by suspending weight from it if α is the longitudinal strain & y is the young's modulus, show that elastic potential energy per unit volume is given by 1 2 y α 2 . Jun 26, 2025 · Elastic Potential Energy Elastic potential energy is defined as The energy stored within a material (e. Elastic potential energy is energy stored by stretching or compressing an object. This is the area in which the material is stressed beyond its elastic loadability and the first plastic deformations occur. 2×1011 N/m2, find the energy stored per unit volume in the stretched wire. This elastic potential energy calculator makes it easy to determine the potential energy of a spring when stretched or compressed. Sep 11, 2020 · Stress-strain Curve Example: The stress-strain curve illustrates the mechanical properties of materials, for example, steel, stainless steel or aluminium. Assertion If a wire is stretched, only half of the work done in stretching the wire remains stored as elastic potential energy. Feb 27, 2025 · Learn about the elastic strain energy formula for your AQA A Level Physics exam. 9. 5 Elastic Potential Energy in a Stretched Wire from 8. in a spring) when it is stretched or compressed It can be found from the area under the force-extension graph for a material deformed within its limit of proportionality A material within its limit of proportionality obeys Hooke’s law Therefore, for a material obeying Hooke’s Law A metallic wire is stretched by suspending a weight to it. MECHANICAL PROPERTIES OF SOLIDS in the CBSE 11 Physics Part 2 course using AI-powered lessons, audio guides, flashcards, glossary, and quizzes for learning. 6. Jul 4, 2025 · Elastic potential energy is the energy stored in a material when it is stretched or compressed within its elastic limit. Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring. The work done in stretching the wire by dl, dW = F. Jul 23, 2025 · Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring or an elastic rubber cord. g. in a spring) when it is stretched or compressed Elastic potential energy for a material deformed within its limit of proportionality is found from the area under the force-extension graph So, the work done is also equal to the elastic potential energy stored in the material when it Welcome to this detailed explanation on the derivation of **Elastic Potential Energy** stored in a stretched wire! In this video, we break down the concepts Elastic potential energy per unit volume for a stretched wire can be expressed in terms of strain and stress. Then from Eq. (9. Read on to get a better understanding of this concept, including an elastic potential energy definition and an example of calculations. The elastic potential energy stored in a stretched wire is given by: U = 1 2YAΔL2 L Write down the expression for the elastic potential energy of a stretched wire. The formula is given by U = 1 2 stress strain. Fill the given boxes and press the Calculate button to get the desired value from the elastic potential calculator. Let’s get started by MECHANICAL PROPERTIES OF SOLIDS 04 || Elasticity : Energy Stored in a Streched Wire JEE MAINS/ NEET Physics Wallah - Alakh Pandey 13. Implementing this on an industrial scale requires not only an understanding of the stretched wire theory but also manufacturing processes, cost, and material limitations. Consider a wire whose un-stretch length is L and the area of cross-section is A. (2) Substituting equation (2) in (1) we get, When a wire of original length L and area of cross-section A is subjected to a deforming force F along the length of the wire, let the length of the wire be elongated by l. Potential energy is the energy that an object has stored in it due to its position. . 3M subscribers 37K Potential Energy Stored in a Stretched Wire↪ Suppose a wire of length L and area of cross-section A is stretched through an extension l. Hence, the expression for the elastic potential energy of a stretched wire is W = 1 2 F I. Step 2: Define Initial and Dec 24, 2024 · Elastic potential energy Elastic potential energy is defined as the energy stored within a material (e. Elastic potential energy is calculated using Hooke’s Law, as it shows how much energy is stored when a spring (or elastic object) is deformed within its elastic limit. Step 1: Understand the formula for elastic potential energy The elastic potential energy (U) stored in a stretched wire can be expressed in terms of stress and strain. 5. The derivation shows that the elastic potential energy density of a stretched wire is equal to σε/3, not σε/2 as commonly stated. W = 1 2 F I Thus, this work done is also known as the elastic potential energy of a stretched wire. W = ∫ l 0 F dl . If α2 is the longitudinal strain and Y is its Young's modulus of elasticity , then show that the elastic potential energy per unit volume is given by 1/2 Y 2. Elastic potential energy in a stretched wire || mechanical properties of solids || XI Physics MK Sir Physics 4. The discrepancy arises from the integration of work done during the stretching process. The total work done in stretching the wire from 0 to l is. 6 Elastic Potential Energy in a Stretched Wire When a wire is put under a tensile stress, e done against the inter-atomic forces. MECHANICAL PROPERTIES OF SOLIDS |Elasticity : Energy Stored in a Streched Wire JEE MAINS| NEETEnergy Stored in a Streched WireElastic Potential Energy in a s Master the 8. By analyzing the equations and examples, we see that the work done to stretch a wire can be calculated using Young's modulus and other parameters. Select the value you want to calculate, i. To derive the expression for the elastic potential energy stored in a stretched wire under stress, we will follow these steps: Step 1: Understand the Concept of Work Done The elastic potential energy (U) stored in a stretched wire is equal to the work done (W) in stretching the wire. Elastic Potential Energy In A Stretched Wire|Mechanical Properties Of Solid|Akshi Academy|Class 11Topics CoveredClass 11 Physics Chapter 9Mechanical properti Elastic potential energy is the energy that is stored in elastic materials and objects such as springs and rubber bands. What actually happens within some of the materials mentioned in the examples may be quite complex, but we can calculate the energy stored in a stretched metal wire where Hooke's law is obeyed as follows. If young's modulus of copper wire is 1. , spring potential energy, spring force constant, or spring stretch length using elastic energy calculator. Dec 14, 2021 · Learn an interesting fact about the Elastic Potential Energy in a Stretched Wire, formula, numericals. e. Breaking Stress developed in the stretched copper wire is 6 ×105 N/m2. Note: Students should be aware that within elastic bounds, young's modulus can also be defined as the ratio of longitudinal stress to longitudinal strain. This work done is stored in the body in the form of elastic energy. Therefore, the total work done in stretching the elastic material will be stored in the form of potential energy and it is known as the elastic potential energy formula. Explore how to calculate energy stored in stretched or compressed springs that obey Hooke’s law. Reason Potential energy stored in the wire is 1/2 (stress) xx (strain) View Solution Explain the concept of Elastic Potential Energy in a stretched wire and hence obtain the expression for it. If S is the stress produced in the wire and ε is the strain in it, the potential energy stored per unit volume is given by Jun 26, 2025 · A spring that is stretched or compressed has elastic potential energy It is very dangerous if a wire under large stress suddenly breaks This is because the elastic potential energy of the strained wire is converted into kinetic energy This equation shows The greater the extension of a wire Δ x the greater the speed v it will have when it breaks Feb 27, 2025 · Learn about the elastic strain energy formula for your AQA A Level Physics exam. Breaking Stress Definition: The minimum value of stress required to break a wire, is called breaking stress. 62K subscribers Subscribe Oct 19, 2024 · Understand elastic potential energy for your AP Physics 1 exam. It is equal to the work done to stretch the spring which depends on the spring constant k and the distance stretched. Then, the work done Nov 23, 2019 · The work done by the external applied force during stretching is stored as potential energy (U) in the wire and is called as strain energy in the wire. Make sure to check out our potential energy calculator, too! Jul 2, 2025 · The concept of work done in stretching a wire is essential for understanding elastic potential energy and its real-world applications. Dec 4, 2024 · What is the difference between elastic potential energy and chemical potential energy? Ans. In this article, we will discuss the elastic potential energy formula with an example. When a force is applied to stretch the wire, the wire undergoes an elongation (ΔL). Here Y is the Young’s modulus of the material of the wire. This revision note covers calculations of energy stored in stretched materials. 📚 Elastic Potential Energy | Class 11 Physics | Mechanical Properties of Solids | Important Topics CBSE 2025 In this video, we explore the concept of elastic potential energy, an essential part Nov 27, 2018 · #dailystory #subhranshupradhan For your queries:elastic potential energy in a stretched wire,elastic potential energy,elastic potential energy in a stretched When a body is stretched, work is done against the restoring force (internal force). dl. Let a force produce an extension 1 and further assume that the elastic limit of the wire has not been exceeded and there is no loss in energy. Dec 5, 2018 · Find an answer to your question Explain the concept of elastic potential energy in a stretched wire and hence obtain the expression for it. Nov 14, 2024 · Elastic Potential Energy Elastic potential energy is defined as The energy stored within a material (e. mpozbnf sxo gdhr fflw djia jsfo fionn ynsgqge ejzypksc yixqda