I have a 84 chev caprice and when I try to pick up speed it starts to make popping noise and it hesitates. It also picks up speed at a really slow pace. I heard it was my carburetor just need second opinon thanks for your time.

The popping and slow to pick up speed is caused by a vacuum leak. Check all the vacuum lines are connected and not broken anywhere.

It came be a broking fly wheel do you hear any noise under truck then just may be a piston connect rod but not be care able to hear it all or this just a guess .

Hesitation is usually caused by a dirty throttle body or a bad Throttle Position Sensor. I would try cleaning the throttle body first.

A bad thing about this car their distributor is in front of the engine catching all the road slop. You may need to replace this. Since you replaced the fuel filter have you replaced the air also? Did you try a bottle of fuel injector cleaner? Good luck and I hope my suggestions helps
burdfrenzy
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Replace the fuel filter as a first step, but also check for a faulty fuel regulator. Find the fuel regulator near the throttle body in the fuel line and pull off the rubber hose and see if there are any traces of fuel dripping out of the rubber hose. The hose is for air only and fuel in that hose indicates the fuel regulator requires replacement. Also check for vacuum leaks in the hoses from the motor's intake to the crankcase where the PCV valve is located. Relatively small holes in that area will cause poor acceleration and a lean condition in the motor and loss of power or hesitation. Also check the plastic air tubes going from the air filter box to the throttle body area to make sure everything is tight and there are no holes. Holes or leaks there will cause hard starts and poor driveability.

Does the winding noise speed nup and slow down with the movement of the car? Does the sound seem like an electrical whine or a mechanical whine? It could be your speedomiter cable.

Possible water in fuel tank. If the engine sputters an pops most probably water.

have you changed the fuel filter lately a plugged fuel filter will cause this concern
did the power loss start all of a sudden or did you start losing power over time ?

Have you tried changing the spark plugs it sounds like one of the cylinders isn't firing