Spring Constant or force constant is defined as the applied force if the displacement in the spring is unity. It is denoted by **k**.

Consider a force F stretches the spring so that it displaces the equilibrium position by **x**.

Spring Constant formula is used to find the force applied, displacement and spring constant. It is expressed in

Related Calculators | |

Calculating Constant Acceleration | Equilibrium Constant Calculator |

Area of a Circle Formula Calculator | Area of a Cylinder Formula Calculator |

Below are problems based on spring constant which may be useful for you.

Given: Mass m = 2 Kg,

Displacement x = 50 cm,

Force F = m a = 2 Kg $\times$ 0.5 m = 1 N

The spring constant is given by

k = - $\frac{F}{x}$ = - $\frac{1}{0.5}$ = - 2 N/m.

Given: Mass m = 30 lbs = $\frac{30}{2.2}$ = 13.64 Kg.

Displacement x = 60 cm

The force F = ma = 13.64 $\times$ 9.8 = 133.67 N

The spring constant is given by k = - $\frac{F}{x}$

= - $\frac{133.67}{0.6}$

= - 222.786 N/m.