Question

What is the direct formula to determine the force constant of a spring?

Answer 1

Mathematically, F∝x, where F is the force applied, and x is the extension or compression of the object (usually in metres). Now, F = – kx, where k is the constant of proportionality called the spring constant. Spring constant can be defined as the force required per unit extension or unit compression of the spring.

Please mark it as a brain list answer

Answer 2

Since ,when the spring oscillates about its mean position then the time period of the loaded spring can be given as

$t = 2\pi \sqrt{ \frac{m}{k} } \\ so \\ k = \frac{4 {\pi}^{2}m }{ {t}^{2} }$

where

t = time period

m = mass loaded

k = force constant

:-)