HOOKE'S LAW CALCULATOR


Hooke's law calculator to find spring displacement, spring constant and restoring force of a spring.


Hooke's Law Calculator

Hooke's law formula is F=-kx. Here k stands for spring constant, x is displacement or change in length of the spring and  F is the restroring force. The spring exerts a force in the opposite direction to the displacement acting to return the spring to its natural length (hence there is minus sign in the formula. The unit of spring constant is N/m, force is N and displacement is m.

Hooke's law is accurate as long as x is not too great.


Hooke's Law Calculator (Spring Force Calculator):

KNOWN PARAMETERS
 INPUT PARAMETERS
Spring Constant [k]
Displacement [x]
Restoring Force [F]

Note: Use dot "." as decimal separator.

 


RESULTS
Spring Constant [k] Label
Displacement [x] Label
Force [F] Label

Note: Default rounding is 7 decimal places.


Hooke's Law (Spring Force) Example:

A dart of mass 0.200 kg is pressed against the spring of a dart gun. The spring, with spring stiffness constant k=200 N/m , is compressed 60 mm. What is the restoring force of the spring?

Solution:

KNOWN PARAMETERS
Constant [k], Displacement [x]
 INPUT PARAMETERS
Spring Constant [k] 200 N/m
Displacement [x] 60 mm
RESULTS
Spring Constant [k] 200 N/m
Displacement [x] 60 mm
Force [F] -12 N

Reference: