1997 Toyota Corolla Repair Question
Toyota Corolla Engine Problem
check the engine oil first. Often these noises can be caused by bad engine bearings (crankshaft bearings).
if the water pump is causing this noise you should be able to grasp its pulley and shake if from left to right and up and down. If you can, replace it.
Timing belt tensioner is a little more difficult. you'll have to see it in operation and to do this you'll need to remove the front timing belt cover. So check the engine oil and water pump and then we'll tackle the timing belt tensioner. (just for the record they rarely make that much noise)
562 answers provided
as stated, do those checks first. i believe you have a lower engine issue from your description.
24,973 answers provided