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Hooke s law is a law of physics that states that the force f needed to extend or compress a spring by some distance x scales linearly with respect to that distance. In reality constant force springs do not provide a truly constant force and are constructed from materials which do obey hooke s law.

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You find the spring constant by suspending weights from the spring recording the extensions and plotting a graph.

Force constant of a spring. That is it does not obey hooke s law. A constant force spring is a spring for which the force it exerts over its range of motion is a constant. Its stiffness and x is small compared to the total possible deformation.

The variables of the equation are. K is the slope of the graph. An ideal constant force spring is a spring for which the force it exerts over its range of motion is a constant that is it does not obey hooke s law.

Generally constant force springs are constructed as a rolled ribbon of spring steel such that the spring is relaxed when it is fully rolled up. The force of the spring should be equal to the requirement of the application. The normal tolerance for a constant force spring is 10.

Where k is a constant factor characteristic of the spring. F which represents force k which is called the spring constant and measures how stiff and strong the spring is and x is the distance the spring is stretched or compressed away from its equilibrium or rest position. A high estimate which makes the spring larger and more expensive than necessary.

The spring constant denoted by k is unique for each spring and is the proportionality factor in hooke s law which relates force to extension.