Table of Contents
- 1 How do you calculate extension from force and length?
- 2 What is the formula for elastic force?
- 3 What is extension wire?
- 4 What force stretches the length of a hanging wire by 1 mm?
- 5 What is the Young’s modulus of elasticity of a wire?
- 6 What is the acceleration of extension of a wire during stretching?
How do you calculate extension from force and length?
When an object, such as a spring, is stretched, the increased length is called its extension….Force on a spring.
| F = ke | F = k x e |
|---|---|
| e = | e = F ÷ k |
What is the formula for elastic force?
Elastic potential energy is equal to the force times the distance of movement. Elastic potential energy = force x distance of displacement. Because the force is = spring constant x displacement, then the Elastic potential energy = spring constant x displacement squared.
What is the formula for extension?
Hooke’s Law states that the force needed to compress or extend a spring is directly proportional to the distance you stretch it. As an equation, Hooke’s Law can be represented as F = kx, where F is the force we apply, k is the spring constant, and x is the extension of the material (typically in meters).
What is extension wire?
An extension cord (US), power extender, drop cord, or extension lead (UK) is a length of flexible electrical power cable (flex) with a plug on one end and one or more sockets on the other end (usually of the same type as the plug). Extension cords come in various colors, lengths, thicknesses and service duties.
What force stretches the length of a hanging wire by 1 mm?
A force 1000 N stretches the length of a hanging wire by 1 mm. What force is required to stretch a wire of the same material and length but having four times the diameter of 1 mm?
What is the limit of elasticity of a wire?
Elastic limit is exceeded when the strain in a wire (Y=14 × 1011 N/m²) exceeds 1/2000. If the area of the cross-section of the wire is 0.02 cm², find the maximum load that can be used for stretching the wire without causing a permanent set.
What is the Young’s modulus of elasticity of a wire?
Given: Initial length of wire = L = 2 m, Elastic limit = stress = 8.26 × 10 8 N/m², Young’s modulus of elasticity = Y = 2 × 10 11 N/m². Young’s modulus of the material of a wire is 9.68 × 1010 N/m².
What is the acceleration of extension of a wire during stretching?
The extension in the wire takes place so slowly that it can be treated as quasi-static change; because internal elastic force in the wire is balanced by the external applied force and hence acceleration is zero. Let at some instant during stretching the internal elastic force be ‘f’ and the extension produced be ‘x’.