They are generally the stick-on variety and placed near the centerline
of the wheel. Sometimes, by aligning the heavy spot of the tires with
the light spot of the wheels they can minimize the use of any weights.
Your symptoms do suggest a misbalanced tire or tires, but it may also be
flatspotting. Does the vibration go away after you have driven for 1/2
and hour or more?
depending on ambient temps, yes it should. Usually a flat spot has
worked itself out in 10-15 minutes of high speed driving. You may need
a balance job.
But... if your tires are flatspotting you will want to have the wheels
balanced *after* they have been fully warmed up by driving a good 1/2
hour on them to be sure. Flatspotting can be observed (and confirmed)
by jacking one corner up and rotating the wheel looking for radial
runout of the tire tread surface.
Been there, done that, had to rebalance multiple times to get it right.
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