General Comment on Pump Failures. The number one reason I have observed to cause a pump failure, it the pressure tank bladder has failed. Which fill the air chamber with water and causes severe short cycling. A pressure tank is generally sized to run the pump four or five minutes, long enough to cool the windings from the start. If you lose half the air volume, the pump short cycles.
I highly recommend that you valve off the pressure tank and then break the union, so it drains. Then try to pump the air chamber to 2-psi below the cut in pressure on the pressure switch. If the tank won't hold air pressure it has failed and needs to be replaced to prevent short cycling and destroying your new pump. Locally, they won't give you a warranty on the new pump, without verifying the existing pressure tank is airtight, or installing a new tank.
I can find tank sizing calculators on the web here.
SELECTION TOOLS - Amtrol
They use 1 minute 1.5 minutes, and 2 minutes as the "target minimum run-cycle time".
A pressure tank sized to make the pump run for one minute is the standard. Two minutes of run time is considered a luxury. Sizing a tank any larger is rare. Most tanks are undersized because of cost. If tank manufacturers really suggested sizing a tank for four or five minutes of run time, the motor WOULD run long enough to dissipate the heat, and stay off long enough to cool down before restarting. It would also put so few cycles on the tank diaphragm that it would also last much longer. That is exactly why they do not recommend longer run times or continuous running, as that would make everything last longer.
That one minute of run time is designed for planned obsolescence as it causes exactly the scenario you describe. The pump cycles every minute and the tank diaphragm goes up and down every minute until the rubber tears and lets the air out. Then the tank gradually waterlogs causing the pump cycles to get shorter and shorter. If you do not have a device that looks for short cycles and you do not notice the lights flickering as the pump goes click, click, click a few thousand times for a week or so, you will need a new pump. This is even PLANNED to happen in an average of seven years, believe it or not. A new pump and a new tank every seven years for every pump system on the planet is the goal. I have even checked the date codes on thousands of pumps sent to the scrapyard over the years, and the average life expectancy overall is almost exactly seven years. Many will last 30-40 even 50 years. But average that with the ones that only last 3 or 30 days and the average comes out to seven years. For every pump that last 30 years, there is another that didn't last 15 days, which makes the average 7 years. Those are the two extreme of the dates, but the average works out the same with all pumps. If there is one thing pump and tank manufacturers are good at it is planning a failure date for their products. Pretty much anything that decreases pump cycling will increase pump life.
Many years ago I was ask to join a manufacturers group. After a little wining and dining the meetings were all about how to increase pump and tank sales. Marketing to new customers was one avenue. But conspiring and consolidating to plan the actual life of the equipment they made, blew my mind. Stupid and naïve, I could not believe they were making products with a limited life expectancy on purpose. Needless to say, I was out the door the next morning.
I went to many a pump school at the manufacturing plants where I was told this brand of pump is superior and last longer than the other brands because of blah, blah, blah. Then the other brand would tell me they were superior and lasted longer because of some great new sand slinger or other idea of some kind. Back home, I was out a lot of money fixing warranty pumps and still had angry customers. I could install the best pumps I could get in the best way I had been taught and they still averaged only seven years. My lucky customers who got 10-30 years were happy with me. But the ones that had warranty issues or just past warranty issues were angry at me, and I usually lost that customer to another installer, who was going through the same problems as me.
I know it is hard for people to believe that manufacturers would conspire against them. I felt the same way. But after being in the manufacturing side for many years now, I see that nearly everything is built with planned obsolescence as the major design criteria. It is a very hush hush secret, and I watch my back all the time because I know they don't like me to tell people about this. Over the years those same manufacturers have done everything they can to try and make me look foolish and condemn the Cycle Stop Valve for any reason they think of. Mostly, they just put ideas into people's heads at trade shows and hot dog days, and let installers and the general public post inaccurate comments or outlandish home made videos to make it seem there are problems with using a Cycle Stop Valve.
In reality, there are no problems for using a Cycle Stop Valve, just the opposite is true. As I have quoted a CEO at one of the major pump manufacturers many times, "The Cycle Stop Valve makes pumps last longer and use smaller pressure tanks, this company makes pumps and tanks, so anyone who mentions a Cycle Stop Valve will be terminated immediately".