How to Calculate Spring Constant
What is Spring Constant?
Hooke's Law states that the force needed to extend or compress a spring is proportional to the displacement. The spring constant k (measured in N/m) quantifies the spring's stiffness — a higher k means a stiffer spring requiring more force per unit of extension.
Formula
- F
- force applied (Newtons) — force applied (Newtons)
Step-by-Step Guide
- 1F = k × x (Hooke's Law)
- 2F = force applied (Newtons)
- 3k = spring constant (N/m)
- 4x = extension or compression from equilibrium (metres)
- 5Elastic potential energy stored: PE = ½ × k × x²
Worked Examples
Frequently Asked Questions
What is Spring Constant?
Hooke's Law states that the force needed to extend or compress a spring is proportional to the displacement. The spring constant k (measured in N/m) quantifies the spring's stiffness — a higher k means a stiffer spring requiring more force per unit of extension
How accurate is the Spring Constant calculator?
The calculator uses the standard published formula for spring constant. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Spring Constant calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Spring Constant calculator use?
The core formula is: F = k × x (Hooke\'s Law). Each step in the calculation is shown so you can verify the result manually.
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