1. What is Hooke's Law?

Hooke's Law states that the force (F) needed to extend or compress a spring by some distance (x) is proportional to that distance. This relationship is expressed by the equation F = k × x, where k is the spring constant.

2. How Does the Calculator Work?

The calculator uses Hooke's Law:

Where:

• \( F \) — Spring force (N)
• \( k \) — Spring constant (N/m)
• \( x \) — Displacement from equilibrium position (m)

Explanation: The equation shows that the force exerted by a spring is directly proportional to its displacement from the equilibrium position.

3. Importance of Spring Force Calculation

Details: Calculating spring force is essential in mechanical engineering, physics experiments, and designing systems that use springs (like suspension systems, mechanical watches, etc.).

4. Using the Calculator

Tips: Enter spring constant in N/m and displacement in meters. Both values must be positive (spring constant > 0, displacement ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the spring constant?
A: The spring constant (k) measures the stiffness of a spring. Higher values mean stiffer springs that require more force to stretch or compress.

Q2: Does Hooke's Law always apply to springs?
A: Hooke's Law applies only within the elastic limit of the spring. Beyond this limit, the spring may deform permanently.

Q3: What are typical units for spring constant?
A: The SI unit is N/m (newtons per meter), but lb/in (pounds per inch) is also commonly used.

Q4: Can this calculator be used for compression springs?
A: Yes, Hooke's Law applies to both extension and compression of springs.

Q5: What if my spring is nonlinear?
A: This calculator assumes linear springs. For nonlinear springs, more complex calculations are needed.