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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 ...
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.
The spring constant k 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 k are newtons per meter (N/m).
What is the Spring Constant? The spring constant, often denoted by k, is a measure of the stiffness of a spring. It quantifies the amount of force required to stretch or compress the spring by a unit of length. A higher spring constant indicates a stiffer spring that requires more force to deform.
If you're given a line that represents a spring that obeys Hooke's Law (also called an ideal spring), you can find the spring constant by finding the slope of the line using the basic slope formula . A line with a spring constant as a slope will always cross through the origin of the graph.
The proportional constant k is called the spring constant. It is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.
Learn about Hooke's law and how to calculate the spring constant, including the formula and insight on a spring's impact on force.
Here, k is known as the force constant or spring constant. The negative sign is because the restoring force is in the opposite direction to the displacement. It is responsible for bringing back the spring to its equilibrium position. This equation applies to both compression and extension of spring.
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.
The spring constant, k, is a measure of the stiffness of the spring. It is different for different springs and materials. The larger the spring constant, the stiffer the spring and the more difficult it is to stretch.