Question

The period of oscillation for a mass on a spring system is 0.22 s. If m=3.5 kg, what is the spring

constant of the spring?

Answer 1

We can find the spring constant of the spring from the formula:

$$T=2\pi\sqrt{\dfrac{m}{k}},$$ $$T^2=4\pi^2\dfrac{m}{k},$$ $$k=\dfrac{4\pi^2m}{T^2},$$ $$k=\dfrac{4\pi^2\cdot 3.5\ kg}{(0.22\ s)^2}=2855\ \dfrac{N}{m}.$$

Answer:

$k=2855\ \dfrac{N}{m}.$