Blade wobbles - can't cut a straight line with it

Are you using a rip blade. Maybe slowing down the cut will help.

Blades slip off the wheels on these saws is because one or both wheels are not turning true to the blade. This can be caused by:
- Missing or worn tires on the wheels. The rubber tires have to be on the wheels and they have to be in good condition.
- Occasionally the screws holding the sprocket on the driven wheel come loose and the wheel will wobble causing the blade to come off.
- Both wheels ride on bearings and shafts that, if seized, worn or broken, will let the wheel wobble enough that the blade won't stay on.
- If the blade is stretched or twisted from use it won't stay on very well.

You likely need to replace the blade i have hitachi 10 inch chop saw with the lazer i love it the best one i have ever had vary well build But any saw is olny as good as its blade if ti were a lesser mechine i would say it could be the baerings but i see how hitachi makes tools so i would say its the blade got over heated at one time now when it gets hot it looses its integreity buy good blades as a rule

Check blade is on properly. Remove blade and clean area where mounts to shaft. Make sure proper washers are in place. If blade is bent or wobbles replace. If blade is dull replace. Be sure you're getting enough water to saw. Don't force the tile through, let the saw do the work. Nothing helps any kind of saw more than a nice new blade.

There are a couple reasons why the blade is wobbling. Either the diamonds are glazed over because the material you are cutting is way to hard or the blade is very thin and when metal gets hot it expands and when you make a longer rip cut it will tend to wobble. I sell blades for a living and i can almost gurantee this is the reason

Normally blade overheating. Improper blade or too few teeth for material, teeth not sharp and/or offset enough for proper width of cut. Teeth must cut wider than blade. Inexpensive blades tend to do this quickly. Other possibility: Bad bearing, check for play with saw unplugged. Blade should have little wobble. Other possibility: Saw body cracked/damaged(allowing shaft to skew) or very cheap saw unable to handle material

Sounds like the power feeder is not holding it secure at the end of the pass. Is the outfeed table running level to the saw table?
Just a wild guess, I'm afraid. I haven't used one myself.
The only time I've seen blades wobble like that was when they were light plates, undersized for heavy duty ripping operations. It's truly frightening to watch them overheat and turn to butter like that. I'd recommend getting a heavier plated saw blade if there's any question about yours.

I hope this information allows you to resolve this issue. If you need further assistance, please post back with a comment to this thread.
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You may wanna check the Conveyor Cart Wheel. Replacing this wheel maintains smooth rolling action which contributes to straight, chip-free cuts.

It costs for only about $28.72. Here, you may check this link if you wish to buy the Conveyor Cart Wheels:

http://www.diamond-blades.net/target_tile_saw_access.html

Unfortunately, I couldn't find any service center where you can bring your Target Tile saw for repair. But you may check the manufacturer's contact number on the user's manual.

Have a great day!

I do not know your machine but from previous experience I know that a sircular saw blade wobbles when it was over heated during use.