So I just got my tires rotated at 5000 miles from when they were put on. which was what was recommended to do but now my steering wheel starts to vibrates when I get up to 65 mph.I'm not entirety certain that it is because of the wheel rotation but I first noticed it a day or two after they were rotated. I drive every day on windy roads. Is it possible I waited too long to rotate them even though 5000 miles is when they should be rotated? How can I fix this before it affects something else too much?

Have the balance rechecked by the same shop that just rotated them. Likely they were balanced properly, or the tech used the wrong wheel weight and some fell off and now the tires are out of balance.

 

Or if they didn't balance them when they were rotated, have them balanced.

Unless you're alignment is completely off, 5000 miles on tires wouldn't cause a vibration from tire issue.

As noted, that 60-65mph vibration is frequently a tire balance issue. Seems to be the perfect speed for it to show up. They put the out-of-balance tire(s) on front.

ill bet the rear tires had abnormal wear and when they moved them to the front it introduced the vibration to the front wheels instead of the rear ones. check the tires and see if the tread pattern is wearing evenly or if it feels like high and low spots.

if you feel it in the steering wheel, you want to have lug nuts and studs checked for proper torque and cracks, etc.

 

as said above, swap the tires front to back and test.

 

sometimes, flakes of rust or other debris can be caiught somewhere in the hub-rotor-wheel 'sandwich' and cause issues.

+1 on making sure the wheel lug nuts are tight. If you have aluminum alloy wheels, it is common to do a re tightening of the lugs at around 25 miles. That might do the trick.

 

Agree with others that wheel balancing may be needed.

On my alloys at one point I had to break off the black glass-like corrosion where the wheel mates to the rotor to get it vibration free.