don't know how this is even helpful but
the natural frequency of a spring and weight is
Hertz = 3.1 X sqrt( spring rate # per inch / weight #)
just roughly 800 rate with 800# at a tire would be the car wants to oscilate at 3 times per second.
from 1970's text book, a sedan should have a Natural freq of 1 and a race car/truck have 2
However I don't have a thought what could be exciting the as a function of speed
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