Installed a new starter and it engaged but wont turn the fly wheel.

Starter soups but doesn't engage. Clicking sound: you hear it spinning with a click sound before it starts spinning. No grinding sound. The mechanism to engage the fly wheel could be faulty, probably it is seized, or battery doesn't have enough power to make the solenoid fully pull mechanism (check battery amps charge if low. You may need to look at the starter as someone turns the motor over and make sure it's engaging all the way to fly wheel.
Sometimes you may need to Shem or file down where the two bolts go into the starter too get it far enough into the starter casing to get it to engage.
Walld"

Couple possibilities. Was the starter just replaced? If so. Were their any shims (small metal pieces) that were not put back? They space the starter so the bendix and gear can align with fly wheel.. secondly could be a bad starter, broke bendix. Bad gear..or third missing teeth on either fly wheel or starter..

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Either the starter isn't engaging the flywheel or the flywheel is chewed up/missing part or all the teeth/gears.

Sounds like it is not toughing 100% and making full gear contact with the fly-wheel. Replace starter or the misalignment can burr the flywheel causing rounding and subsequent damage to the device.

it has a starter solenoid on the drivers side fender

you may need to check the fly wheel,,to see if the outer part of it has seperated from the inside..plus check the teeth on the fly wheel...

there is a starter relay that may be sticking, keeping the starter engaged. And also not letting it start.

sounds like the starter is not disengaging the fly wheel quickly like it should when you turn the key the starter cog connects upto a fly wheel that has teeth all around it when the teeth of starter cog connect between teen on wheel it spins it to crank your car then goes back to starter if you hold your key on after starting the noise you hear is the starter cog(teeth ) still engaged in wheel if this is the sound it needs to be serviced not neccassarily replaced

it you can hear the starter motor spining but is not engaging into the fly wheel then the starter motor will need to be re-conditioned or replaced

 you need a shim, if its screaming your clearance is to great. Are you positive its the right starter?