Spring Constant Calculator:
Enter the values of spring constant, k(N/m) and displacement from equilibrium, x(m) to determine the value of Force exerted by the spring, F(N).
Spring Constant Calculator:
The spring constant, is a measure of the stiffness of a spring and quantifies the force required to extend or compress the spring by a unit length. This constant is crucial in understanding how springs behave under applied forces and is determined by the material and dimensions of the spring.
Hooke’s Law states that the force, exerted by a spring is directly proportional to the displacement, from its equilibrium position. The negative sign in the formula reflects that the force exerted by the spring opposes the direction of displacement, indicating restorative behaviour. The spring constant, is measured in Newtons per meter (N/m).
Springs with a higher k-value are stiffer and require greater force for the same displacement compared to springs with a lower k-value. Hooke’s Law is applicable only within the elastic limit of the spring, beyond which permanent deformation occurs.
The relationship between force and displacement allows for practical applications in designing mechanical systems, such as shock absorbers, weighing scales, and vibration dampers. Understanding the spring constant helps ensure systems operate efficiently and safely under varying loads.
Force exerted by the spring, F(N) in Newtons is calculated by the negative to the product of spring constant, k(N/m) in Newtons per metres and displacement from equilibrium, x(m) in metres.
Force exerted by the spring, F(N) = – k(N/m) * x(m)
F(N) = force exerted by the spring in Newtons, N.
k(N/m) = spring constant in Newton per metre, N/m.
x(m) = displacement from equilibrium in metres, m.
Spring Constant Calculation:
1.A spring with a spring constant of 250N/m is compressed by 0.2m. Calculate the force exerted by the spring.
Given: k(N/m) = 250N/m, x(m) = 0.2m.
Force exerted by the spring, F(N) = – k(N/m) * x(m)
F(N) = – 250 * 0.2
F(N) = – 50N(negative indicates it is a restoring force).
2.A spring exerts a force of −60N and has a spring constant of 300N/m. Calculate the displacement of the spring.
Given: k(N/m) = 250N/m, F(N) = – 60N.
Force exerted by the spring, F(N) = – k(N/m) * x(m)
x(m) = F(N) / – k(N/m)
x(m) = – 60 / – 300
x(m) = 0.2m.