How To Find The Force Constant Of A Spring?

Finding the force constant of a spring requires experimentation. The force constant of the spring depends on the material, shape and size of the spring, as well as the temperature and other factors. Therefore, it is necessary to keep the material, shape, size and temperature of the spring constant in the experiment to measure the elastic force of the spring under different elongation. In the experiment, hang the spring, hang weights of different masses under the spring, measure the length and elongation of the spring, and record the mass of the weight.

For example, to test a 5N spring:

Use 5N to pull a spring with a longitude coefficient of 100N/m, then the spring will be stretched by 5cm F=kx, k is the longitude coefficient (unit is Newton per meter), x is the spring elongation (unit is meter), which is called Hooke's law.

For example: when a spring is subjected to a tension of 10N, the total length is 7cm, and when it is subjected to a tension of 20N, the total length is 9cm. Find the original length and the force when it is stretched by 3cm.

Equation from the title:

Let the original length of the spring be a: 10=k(0.07-a) 20=k(0.09-a) k=500N/m a=0.05m

Therefore, F=kx=500×0.03=15N

In the experiment, it is also necessary to keep the spring clean to avoid the influence of other factors on the experimental results.

constant force spring is a mechanical part that uses elasticity to work. It is generally made of spring steel to control the movement of parts, alleviate shock or vibration, store energy, measure force, etc. It is widely used in machines and instruments, pneumatic staplers, hair dryers, toys, electric motors etc.