Physics please help Will give Best Answer Picture in details! Your car rides on springs, so it will have a natural frequency of oscillation?

Your car rides on springs, so it will have a natural frequency of oscillation. (Figure 1) shows data for the amplitude of motion of a car driven at different frequencies. The car is driven at 30 mph over a washboard road with bumps spaced 13 feet apart; the resulting ride is quite bouncy.


Determine the frequency of the oscillation, caused by the bumps. 1 mile is 5280 feet


PICTURE https://session.masteringphysics.com/problemAsset/1819887/3/ch14.P040.jpg

Determine the frequency of the oscillation, caused by the bumps. 1 mile is 5280 feet

Andrew Smith2016-12-06T14:00:27Z

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As the bumps are 13 feet apart the wavelength = 13 feet
V = f * lambda
f = V /lambda
But V must match the units of wavelength. So convert V to feet per second
V = 30 * 5280/3600 feet per sec
-> f = (30 * 5280/3600)/ 13 = 3.4 Hz

This is the frequency of the bumps on the road.
From the graph we can see that the frequency is around 2 Hz so one concludes that the frequency of the car is actually f/2 and each bump coincides with each SECOND bounce of the car.
ie the wavelength is actually 13/2

Now the only trouble is that if this was true then there should be a second peak at f = 3.4 Hz on the graph.
As this does not occur the graph appears to be inconsistent with the data of the question.

?2016-12-06T13:56:21Z

v = 30*22/15 = 44 ft/sec
λ = 13 ft
f = v/λ = 3.38 Hz