Ok, we've established the following:
1) The voltage at the load when operating is 124V, so no excessive voltage drop.
2) The load is very likely the only load on the breaker.
3) The load is a motor.
We don't have:
4) Measurement of the actual current draw when the breaker trips.
At this point my first guess is that there is something wrong with the load, causing it to draw overload current, perhaps on the order of 30A on the basis of breaker trip time.
My second guess is a loose connection at the breaker (causing heat which will trip the breaker) or a defective breaker.
-Jonathan