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what is meant by the extension of a stretched spring

by Ruth McCullough Published 2 years ago Updated 2 years ago
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We measure the original length of the spring when we start. When it stretches, we measure the extension - that's how much longer it is than it was when we started. Extension = present length – original length.

Full Answer

What is an extension spring?

How much tension does an extension spring have?

How much force does an extension spring take?

What is the final force of a spring?

How does a garter spring work?

What hooks can be added to an extension spring?

What does it mean when a spring has less coils?

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What is the extension of a spring?

The extension of a material or a spring is its increase in length when pulled. Hooke's Law says that the. extension of an elastic object is directly proportional to the force applied to it.

What does extension mean in physics?

increases in lengthExtension happens when an object increases in length, and compression happens when it decreases in length. The extension of an elastic object, such as a spring, is described by Hooke's law: force exerted by a spring = extension × spring constant. This is when: force is measured in newtons (N)

What is the meaning of stretched spring?

If a spring is stretched, then a force with magnitude proportional to the increase in length from the equilibrium length is pulling each end towards the other.

How is the extension of a spring determined?

For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles. This works until the limit of proportionality is exceeded.

What's Hooke's Law in physics?

Mathematically, Hooke's law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.

Which law relates the force and extension of a stretched spring?

Hooke's Law is a principle of physics that states that the that the force needed to extend or compress a spring by some distance is proportional to that distance.

What is Hooke's Law Class 11?

Hooke's law states that the strain of the material is proportional to the applied stress within the elastic limit of that material. When the elastic materials are stretched, the atoms and molecules deform until stress is applied, and when the stress is removed, they return to their initial state.

How is the extension of the spring different from the length of the spring?

We measure the original length of the spring when we start. When it stretches, we measure the extension - that's how much longer it is than it was when we started.

Is the extension of the spring proportional to the stretching force?

For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles.

What is the formula for extension in physics?

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 the equation for extension?

e is extension = (l-lo); l is the stretched length and lo is original length, and. k is the gradient of the graph above.

How do you find the spring constant with mass and extension?

W = kx. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec2.

How do you find extension in physics?

When an object, such as a spring, is stretched, the increased length is called its extension....F = keF is the force in newtons (N)k is the 'spring constant' in newtons per metre (N/m)e is the extension in metres (m)This equation holds as long as the limit of proportionality is not exceeded.

How do we calculate extension in physics?

Hooke's LawIf you measure how a spring stretches (extends its length) as you apply increasing force and plot extension (e) against force (F);F = ke.F = tension acting on the spring.e is extension = (l-lo); l is the stretched length and lo is original length, and.k is the gradient of the graph above.More items...

What is extension of a material?

Extension is defined by how much an object stretches or deforms. Also known as Elongation.

What is the extension of matter?

René Descartes defined extension as the property of existing in more than one dimension, a property that was later followed up in Grassmann's n-dimensional algebra. For Descartes, the primary characteristic of matter is extension (res extensa), just as the primary characteristic of mind is thought (res cogitans).

What is the extra term for the spring constant?

The extra term, ​ k ​, is the spring constant. The value of this constant depends on the qualities of the specific spring, and this can be directly derived from the properties of the spring if needed. However, in many cases – especially in introductory physics classes – you’ll simply be given a value for the spring constant so you can go ahead and solve the problem at hand. It’s also possible to directly calculate the spring constant using Hooke’s law, provided you know the extension and magnitude of the force.

What happens when you compress a spring?

When you compress or extend a spring – or any elastic material – you’ll instinctively know what’s going to happen when you release the force you’re applying: The spring or material will return to its original length.

How to find elastic potential energy?

The elastic potential energy is equal to the work done (ignoring losses to heat or other wastage), and you can easily calculate it based on the distance the spring has been stretched if you know the spring constant for the spring. Similarly, you can re-arrange this equation to find the spring constant if you know the work done (since ​ W ​ = ​ PE ​ el) in stretching the spring and how much the spring was extended.

What happens to an elastic material after a force is removed?

This intuitive understanding – that an elastic material returns to its equilibrium position after any applied force is removed – is quantified much more precisely by ​ Hooke’s law ​.

What is the energy that is stored in a spring?

Elastic potential energy is another important concept relating to Hooke’s law, and it characterizes the energy stored in the spring when it’s extended or compressed that allows it to impart a restoring force when you release the end. Compressing or extending the spring transforms the energy you impart into elastic potential, and when you release it, the energy is converted into kinetic energy as the spring returns to its equilibrium position.

How to find the spring constant?

Using Hooke’s law is the simplest approach to finding the value of the spring constant, and you can even obtain the data yourself through a simple setup where you hang a known mass (with the force of its weight given by ​ F ​ = ​ mg ​) from a spring and record the extension of the spring. Ignoring the minus sign in Hooke’s law (since the direction doesn’t matter for calculating the value of the spring constant) and dividing by the displacement, ​ x ​, gives:

When a material reaches its elastic limit, it won't respond like a spring?

Similarly, when a material reaches its “elastic limit,” it won’t respond like a spring and will instead be permanently deformed. Finally, Hooke’s law assumes an “ideal spring.”. Part of this definition is that the response of the spring is linear, but it’s also assumed to be massless and frictionless.

What is an extension spring?

Definition of Extension Spring: Extension springs, also known as a tension spring, are helical wound coils, wrapped tightly together to create tension. Extension springs usually have hooks, loops, or end coils that are pulled out and formed from each end of the body. The function of an extension spring is to provide extended force when ...

How much tension does an extension spring have?

Every extension spring has initial tension. Lets say your spring has a rate of 10lbs/in plus your initial tension is 2 lbs . This means that you'll get 2 lbs of initial tension force when you just barely pull the extension spring enough to see light between the coils.

How much force does an extension spring take?

All extension springs have a rate of pounds per inch of extension. Example: Lets say your spring is 10 inches long and has a rate of 10 lbs per inch / of extension . This means if you pull the spring 1 inch in distance it will take you 10 lbs of force to do so.

What is the final force of a spring?

The Spring Rate (lbs/in) plus the distance traveled will give you the final force of your spring. But one has to take into consideration the initial tension. Initial tension is the tension between the coils sandwiched together. Every extension spring has initial tension.

How does a garter spring work?

Once the snake is imbedded into the mass it works at tearing it apart, thus unclogging the drain. A Garter Spring is also a tension spring that is tightly wound, however one end is usually cone shaped so as to permit it to thread into the other end of the garter spring making the entire spring into a spring belt or ring.

What hooks can be added to an extension spring?

There are many different types of hooks that can be added to your extension spring. Extension springs can have machine hooks coming right off the body, side hooks, loops, cross-over hooks and double loops, as well as many more end configurations.

What does it mean when a spring has less coils?

The same is true with the number of coils in your extension spring. Less coils = A stronger extension spring, more coils = weaker extension spring. At the same time less coils = more stress and fatigue, more coils = less stress and fatigue.

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