How do you calculate how far a spring will stretch?
We can find the spring constant of the spring from the given data for the 4 kg mass. Then we use x = F/k to find the displacement of a 1.5 kg mass. The work that must be done to stretch spring a distance x from its equilibrium position is W = ½kx2.
How do you calculate spring k?
The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring’s length. The negative sign indicates that work is done against the restoring force.
Does the spring constant depend on how far the spring is stretched?
More generally, the spring constant of a spring is inversely proportional to the length of the spring, assuming we are talking about a spring of a particular material and thickness. The larger the spring constant, the smaller the extension that a given force creates.
How do you calculate coil springs?
To calculate the amount of spring rate you will need on order to meet your working loads, simply divide the load you will be applying on your spring by the distance you expect your spring to travel or compress under that load.
What is Hooke’s Law BBC Bitesize?
Hooke’s Law When an elastic object, such as a spring, is stretched, the increased length is called its extension. The extension of an elastic object is directly proportional to the force applied to it: F = k × x. F is the force in newtons (N)
How does the spring constant relate to distance?
The spring constant shows how much force is needed to compress or extend a spring (or a piece of elastic material) by a given distance. If you think about what this means in terms of units, or inspect the Hooke’s law formula, you can see that the spring constant has units of force over distance, so in SI units, newtons/meter.
How to calculate the displacement of a spring?
Choose a value of spring constant – for example, 80 N/m. Determine the displacement of the spring – let’s say, 0.15 m. Substitute them into the formula: F = -kΔx = -80 * 0.15 = 12 N. Check the units!
How to find the elastic potential energy of a spring?
You can find the elastic potential energy of the spring, too. Choose a value of spring constant – for example, 80 N/m. Determine the displacement of the spring – let’s say, 0.15 m. Substitute them into the formula: F = -kΔx = -80 * 0.15 = 12 N. Check the units! N/m * m = N.
What is the relationship between Hooke’s law and spring constant?
Hooke’s law and spring constant. Hooke’s law deals with springs and their main property – the elasticity. Each spring can be deformed (stretched or compressed) to some extent.