The Hooke’s Law Calculator is a tool designed to compute the force applied to a spring based on the spring constant and the displacement of the spring from its equilibrium position. This calculator adheres to the principle of Hooke’s Law, an essential concept in physics that explains the behavior of springs when subjected to force.
Formula of Hooke’s Law Calculator
The mathematical expression for Hooke’s Law is represented as:
F = -k * x
Where:
F is the force applied to the spring, measured in Newtons (N).
k is the spring constant or stiffness constant, measured in Newtons per meter (N/m). It signifies the stiffness or rigidity of the spring.
x is the displacement or deformation of the spring from its equilibrium or rest position, measured in meters (m).
Table for General Terms
| Term | Description |
|---|---|
| Force (F) | The applied force on the spring in Newtons (N). |
| Spring Constant (k) | The stiffness constant of the spring in Newtons per meter (N/m). |
| Displacement (x) | The deformation or displacement of the spring from its rest position in meters (m). |
This table provides a reference for general terms used in the context of Hooke’s Law and the calculator, aiding users in understanding and utilizing the tool effectively.
Example of Hooke’s Law Calculator
Consider a spring with a spring constant (k) of 50 N/m. If the spring undergoes a displacement (x) of 0.2 meters, what is the force apply to the spring?
Using the Hooke’s Law formula: F = -k * x
Substitute the values: F = -(50 N/m) * (0.2 m) = -10 N
Therefore, the force applied to the spring is 10 Newtons.
Most Common FAQs
Hooke’s Law is employ to determine the force exerted on a spring when it undergoes deformation from its equilibrium position.
The spring constant (k) dictates how stiff or flexible a spring is. A higher spring constant means the spring is stiffer, requiring more force for the same displacement.
Hooke’s Law is an approximation that holds true for most springs within their elastic limit.
