The frequency of a simple harmonic oscillator such as a spring-mass system is given by
[tex]f= \frac{1}{2 \pi} \sqrt{ \frac{k}{m} } [/tex]
where
k is the spring constant
m is the mass attached to the spring.
Re-arranging the formula, we get:
[tex]m= \frac{k}{4 \pi^2 f^2} [/tex]
and since we know the constant of the spring:
[tex]k=39.5 N/m[/tex]
and the frequency of oscillation:
f=1.00 Hz
we can find the value of the mass attached to it:
[tex]m= \frac{39.5 Hz}{4 \pi^2 (1.00 Hz)^2} = 1.00 kg[/tex]
