Here's a link to an article titled: The Fundamentals of AC Electric Induction Motor Design and Application.
http://www.enginuitysystems.com/files/p20pg095 (Motor design).pdf
It's written by two Electrical Engineers with many years of experience between the two of them. On the 4th page of the PDF (page 98 on the text) is a definition for Service Factor, which I will copy here & italicize the crucial statement about operating in the S.F. continuously.
Service factor -- The service factor (S.F.) is required on a nameplate only if it is higher than 1.0. Industry standard service factor includes 1.15 for open-type motors and 1.0 for totally-enclosed-type motors. However, service factors of 1.25, 1.4 and higher exist.
It is not considered good design practice to use the rating afforded by S.F. continuously; operating characteristics such as efficiency, power factor, and temperature rise will be affected adversely.
Here's a link to a 2nd PDF that talks about Service Factor and the popular misconceptions regarding it:
http://www.avonmore-electrical.com/contentfiles/Service Factor - What is it and What does it do.pdf
It's a 2-page article that states "A motor operating continuously at any service factor grater than 1 will have a reduced life expectancy compared to operating at rated nameplate horsepower.
Insulation life and bearing life are reduced by the service factor load.
The first link that James provided:
https://www.centuryelectricmotor.com...I-20130621.pdf only states that the two motors have the same THP and a careful reading of the label shows they have the same amperage. If you couple this with what we know about SF and that one should not run a motor with an SF greater than one continuously then we can deduce that the 0.75 HP x 1.65 SF motor can be replaced with the 1.0 HP (rated) x 1.25 SF since the THP is the same. It says nothing about going in the opposite direction.
The 2nd link that James provided:
https://www.centuryelectricmotor.com/News-Detail.aspx?LangType=1033&id=6442451535 provides an example for replacing a failed 3/4 HP motor with a service factor of 1.25 (THP = 0.938)
The motor suggested (Motor C) has a rated HP of 1.0 (greater than the original 0.75 rated HP motor) and a service factor of 1.0 for a THP of 1.0 horsepower. Again the example is taking the replacement in one direction. The corollary is not true because one would be relying on overloading the motor which is okay for temporary conditions but not for continuous operation.
Unfortunately there are many pool store sales people who also repeat the Rated HP x SF mantra and sell unsuspecting customers a motor or pump that just won't last as long. Clearly Century's "white paper" doesn't help as it's not as clear as it should be, so a consumer either takes them at their word, does a google search & lands on this site and/or does more reading and some of the reading is very technical and requires an engineering degree to understand.
As I read the first Century link all I can infer is that two motors have the same THP and Voltage/Amperage values. I can see the argument in one direction but based on what is known about the Service Factors, cannot support the claim that both motors are substitutes for each other as clearly going from the lower SF to the higher SF would cause the motor to be running in an "overload" condition and if done continuously then cause it to fail prematurely.
To suggest that Service Factor can be ignored completely is an assumption that I cannot make. It's there for a reason, namely to show how hard the motor can be run in a temporary overload condition, not in a continuous state. The examples that Century provide are in one direction only.
Here are a few more articles that discuss Service Factor and what happens if you run the motor in the Service Factor:
(1)
https://www.thesnellgroup.com/blog/what-you-need-know-about-service-factor
(2)
https://thegrid.rexel.com/en-us/kno...tanding-the-service-factor-of-electric-motors
"
[FONT="]the service factor provides an operating margin for motors subject to unpredictable and brief load increases. In addition, it helps the motor tolerate brief temperature peaks or voltage issues. The horsepower margin allowed by the motor service factor [/FONT]should not be used intentionally[FONT="], not even for intermittent applications."
If you go back and look at the Example in the 2nd Century "white paper", the suggested replacement motor (i.e. Motor C) has a SF of 1.0 and the motor would not be operating in the SF. If you started with Motor C and ended up with the "failed motor" as an equivalent substitution, you'd end up with a motor that has an SF of 1.25 and that motor would be operating in the SF all the time to deliver a nearly equivalent THP. Put another way, the Service Factor is there to account for temporary issues that might be occur. Again, Century (Regal Beloit) could have done a better job in their article and "white paper". [/FONT]