Too much play in the steering wheel - 1989 Jeep Wrangler

Then something in the steering system is worn out, check all of it including the steering box.

The steering box may have to much play jack the front wheel then move the wheel back and forth check the play if it has to much play before the steering moves it may be the box also look at the steering rods and tie rod ends for wear

There are a couple of things that can cause vibration ie wheel balancing that might be wrong usually vibrates when driving at 100-120 km/hr,ball joints that a worn,wheel hubs bend,steering knuckle excessive play,steering rack excessive play,worn steering UJ,worn steering column....

Could be loose lugs/ not torqued to spec. , bad wheel bearing, bad ball joint(s), bad steering arm joint, bad rack and pinion power steering unit, or other steering components. Check lugs first, loosen and retighten while slightly jacked up to take some pressure off of the wheel use a torque wrench set to 100 ft lbs. Then raise wheel about and inch off the floor, use a crowbar to pry up on the wheel several times while observing your ball joints for excessive movement. Very much play at all, replace ball joints, works better to replace them as a pair, top and bottom. If OK, raise wheel a bit further, and grab the top and bottom of the wheel and push/pull in and out to check for play in the wheel bearing. Pretty much any play, replace wheel bearing. If ok, do the same with a side to side motion while observing the steering control arm. Look for play. Play in the joint, replace joint. Play in other steering components, replace suspect component. That's about all the stuff could make the wheel wobble unless the rim itself is bent.

sounds like a wheel bearing has failed or the trackrod, jack up car and feel for play by wobbling each wheel left to right and up and down, if you can look over the wheel you could see play somewhere unless it's the main wheel bearing

it may be that the steering wheel nut is loose or your steering tracking is off.

The steering box has an adjustment screw or bolt which is kept from turning by a lock nut. Loosen the lock nut and turn the screw or bolt
so as to reduce the play in your steering. The adjusting bolt is generally
located on top of the steering box.

The most common of all problems in a steering system is excessive steering wheel play. Steering wheel play is normally caused by worn ball sockets, worn idler arm, or too much clearance in the steering gearbox. Typically, you shou Id not be able to turn the steering wheel more than 1 1/ 2 inches without causing the front wheels to move. If the steering wheel rotates excessively, a serious steering problem exists.

An effective way to check for play in the steering linkage or rack-and-pinion mechanism is by the dry-park test. With the full weight of the vehicle on the front wheels, have someone move the steering wheel from side to side while you examine the steering system for looseness. Start your inspection at the steering column shaft and work your way to the tie-rod ends. Ensure that the movement of one component causes an equal amount of movement of the adjoining component.

Watch for ball studs that wiggle in their sockets. With a rack-and-pinion steering system, squeeze the rubber boots and feel the inner tie rod to detect wear. If the tie rod moves sideways in relation to the rack, the socket is worn and should be replaced.

Another way of inspecting the steering system involves moving the steering components and front wheel BY HAND. With the steering wheel locked, raise the vehicle and place it on jack stands. Then force the front wheels right and left while checking for component looseness.

WHat do you mean by "float in steering wheel"? Do you mean play at the steering wheel? If so, there probably are no adjustments on that car. Some older cars used steering boxes which could be adjusted, but Every Hyundai I've ever seen used rack and pinion steering which is usually not adjustable. You should check for play in the whole system. Have someone rock the steering wheel back and forth and look at the steering components to see if there is any play in them. If it is rack and pinion, hold your hand on the boots that are on either side while the wheel is being rocked to check for play in the inner tie rod ends. Replace any parts with play in them.

If it is been shot and it moans ,there is a possibility that the problem is in adjusting the steering wheel of the car to free play.There fore the owner of the car should be able to adjust steering wheel free play.Prepare the tools and equipment for adjusting steering wheel free play . So that when the steering free play is adjusted , no parts is, no parts are lost or broken.This is what should be done ,first you have to locate steering system assembly,locate the gear box ,check the steering wheel free play,adjust steering wheel free play,observe safety rules .But if you don't have time to do the job then you have to go to a car shop mechanic let the mechanic to do the job