Computers follows a process which what we call P.O.S.T (Power On Self Test) to tests the computer to make sure it meets the necessary system requirements and that all hardware is working properly before starting the remainder of the boot process. If the computer passes the POST the computer will have a single beep (
with some computer BIOS manufacturers it may beep twice) as the computer starts and the computer will continue to start normally. However, if the computer fails the POST, the computer will either not beep at all or will generate a beep code, which tells the user the source of the problem.
It depends on how long or how short or how many beeps did you hear to determine which hardware component in your computer is failing.
Here is a helpful link that you can check and follow for you to determine which hardware is failing in your computer.
After determining which hardware it is, I would recommend that you consult a Local Technician near your area, although, if this Acer Aspire is still under warranty with Acer, it will be better to contact them so that they can have whichever hardware part replaced.
Hope this information is helpful!