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Linear Spring Force: Spring constant Calculator

Linear Spring Force: Calculate spring constant from Force magnitude, Deformation magnitude. Check the formula, input units and worked result on this page.

Enter your values

N
Formula symbol: F. Required unit: N. Must be greater than zero.
m
Formula symbol: x. Required unit: m. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Use deformation from relaxed length. Hooke’s law applies only in the linear elastic range.
Example result
Spring constant
150 N/m

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use linear spring force with the units stated beside the fields. This form solves for spring constant; enter the known quantities in Force magnitude, Deformation magnitude.

Inputs and units
Linear Spring Force: Spring constant Calculator · Inputs and units
InputExample valueWhat to enter
Force magnitude22.5 NFormula symbol: F. Required unit: N. Must be greater than zero.
Deformation magnitude0.15000000000000002 mFormula symbol: x. Required unit: m. Must be greater than zero.
k = (F / (1 × x))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Force magnitude
22.5 N
Deformation magnitude
0.15000000000000002 m

Complete example results

Spring constant
150 N/m

Reading the result

The result solves for spring constant from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the spring constant result?

This model uses positive magnitudes. Use deformation from relaxed length. Hooke’s law applies only in the linear elastic range.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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