Calculating your spring force is straightforward once you know the Hooke's Law formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Hooke's Law Calculator.
What is Hooke's Law?
The Hooke's Law calculation tells you your spring force from a few simple inputs. The figure you are solving for here is the spring force.
The Hooke's Law formula
The core formula is:
Spring force = Spring constant (k) × Displacement (x)Here is what each input means:
- Spring constant (k) — a value measured in N/m. Example: 200 N/m.
- Displacement (x) — a value measured in m. Example: 0.1 m.
How to calculate it step by step
- Write down the spring constant (k) (for example, 200 N/m).
- Write down the displacement (x) (for example, 0.1 m).
- Apply the formula above to get your spring force.
- Double-check the result with the Hooke's Law Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Spring constant (k) | 200 N/m |
| Displacement (x) | 0.1 m |
| Spring force | 20.000 |
With spring constant (k) of 200 N/m and displacement (x) of 0.1 m, the spring force works out to 20.000.
Example 2
With spring constant (k) of 400 N/m and displacement (x) of 0.1 m, the spring force works out to 40.000.
| Result | Value |
|---|---|
| Spring force | 40.000 |
Example 3
With spring constant (k) of 100 N/m and displacement (x) of 0.1 m, the spring force works out to 10.000.
| Result | Value |
|---|---|
| Spring force | 10.000 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Hooke's Law Calculator does it instantly, for free, with the formula and a worked example built in.
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