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Dec 22, 2020 · The spring constant, k, appears in Hooke's law and describes the "stiffness" of the spring, or in other words, how much force is needed to extend it by a given distance. Learning how to calculate the spring constant is easy and helps you understand both Hooke's law and elastic potential energy.
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What is a spring constant?
How do you calculate a spring constant using Hooke's law?
How much force is applied to a spring?
Jun 20, 2024 · We created the Hooke's law calculator (spring force calculator) to help you determine the force in any spring that is stretched or compressed. You can also use it as a spring constant calculator if you already know the force.
In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of ...
Mar 12, 2024 · The spring constant \(k\) is related to the rigidity (or stiffness) of a system—the larger the spring constant, the greater the restoring force, and the stiffer the system. The units of \(k\) are newtons per meter (N/m).
Where F is the force, x is the length of extension/compression and k is a constant of proportionality known as the spring constant which is usually given in N/m . Though we have not explicitly established the direction of the force here, the negative sign is customarily added.
- nominal length = original/initial length
- It just tells us that the exerted by the spring will be in the opposite direction to the force applied.
- It varies between spring to spring, depending on what it is made of, the shape of the spring, and the width of the wire.
- gravity won't change the rigidity of the spring, so I think it is the same on other planets
- The nominal length is 50m. But the spring is being extended not compressed and therefore, the formula is L = Li + x= 50 mm +50 mm = 100 mm
- The spring has some length when it is relaxed, right? That's the initial length.
- I think we are only interested in the absolute value. You need not include the negative sign.
- Hooke's law doesn't say that the constant k is negative. The negative sign is only saying that the force is in the opposite direction of the displa...
- I think you're confused as to the difference between gravitational force and potential energy. Close enough to the Earth's surface, we always feel...
Jun 26, 2024 · The spring constant, measured in / (Newton/meters or Newtons per meter), tells you the proportional force exerted by the spring that causes it to bounce back. These variables have a linear relationship: : Spring constant: Force (the force applied to the spring)
Where F s is the force exerted by the spring, x is the displacement relative to the unstretched length of the spring, and k is the spring constant. The spring force is called a restoring force because the force exerted by the spring is always in the opposite direction to the displacement.
