Don,
A unit of horsepower = 746 Watts. So, to find the amperage needed that raw calc. I used was 746/120 and I came up with 6.2 amps (+/-). At 240 VAC it would yield 746/24 = 3.1 (+/-) amps.
I'm no where near your posted amperages of 16 to 18 amps running.
What did I do incorrectly?
Using the 746 watts for a motor is not how to arrive at the amp load, due to losses and many other factors that affect motor amps draw.
A watt is not AC power, Volt-amps. The 746 watts per HP does not work in electrical calculations.
As you can see from the nameplate data that wolfe98pr provided,the full running load amps at 115 volts is 14 amps.
AC single phase motors must use Table 430.148 to size branch circuit conductors, controllers, disconnects, short circuit protection devices (Fuses and circuit breakers). Table 430.148 lists a 1 HP motor at 16 amps for 115 volts and 8 amps at 230 volts, and these values are to be used when the supply voltage is 120/240 volts.
Wolfe98pr, you did state that the motor is supplied by 120 volts, but a 2 pole breaker. And you cannot confirm the voltage using a meter as you are using a proximity tester that only detects voltage and does not give a true reading.
This needs to get cleared up, is the motor getting 120 or 240 volts. Using a 2 pole breaker tells me the motor is being supplied by 240 volts.
So which is it.
I sure hope the connections and any jumpers in the motor connection compartment are clean, tight and properly connected for the supply voltage.
I get you changed motor for motor same size, so that is not an issue I speculated on.
If there was a 2 pole 20 amp breaker for the same size motor, this tells me the original motor was powered by and sized for with a 20 amp 240 volt circuit.
You need to confirm the motor is connected properly for the supply voltage. And be sure any jumpers are connected properly.
All I can offer as a reason for the breaker tripping is:
Bad breaker
Bad new motor
Motor not connected properly at motor.
Poor or loose connections in the motor and/or breaker.
Not much else I can help with. I don't get that your very knowledgeable working with wiring motors, etc. I don't mean any offense, just stating a fact. You may need to call in a professional to troubleshoot this problem.