# Relation between ride frequency and wheel deflection of a car

I am not able to understand the relation between ride frequency and wheel deflection of a car, as per given in Race car vehicle dynamics book by milliken. Is it something to relate with harmonic motion of a forced oscillator? I still don't get why there is a 188 in the numerator. • given no other information its a good guess its an empirical (experimental) fit. – agentp Jan 19 '18 at 3:12
• Perhaps based on the combination of the spring rate and shock absorber damping ... – Solar Mike Jan 19 '18 at 3:15

This is a log-log plot in which $log(\omega)$ is plotted against $log(x)$.
For example, the frequency for $x=5$ is $\frac{188}{\sqrt{5}}=84.0762$ and the frequency for $x=10$ is $\frac{188}{\sqrt{10}}=59.4508$.
On the log scale, the tick marks show the original values, but the points $\{5,84.0762\}$ and $\{10,59.4508\}$ are actually plotted at $\{\log (5),\log(84.0762)\}=\{1.60944,4.43172\}$ and $\{log(10),\log(59.4508)\}=\{2.30259,4.08515\}$. 