ATR72 FLC DISCOVERED THAT THEY DEPARTED WITHOUT REQUIRED FUEL DUE TO RUSHING THEIR TURN AROUND SINCE THEY WERE BEHIND SCHEDULE.

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ON JAN/TUE/02; ABOUT XN00 FLT XXX DEPARTED TPA FOR MIA. RELEASE FUEL FOR THE FLT WAS 3700 LBS AND WE DEPARTED WITH 2500 LBS. THIS AMOUNT WAS ACCEPTABLE FOR ENRTE FUEL BURN AND RESERVE; BUT DID NOT ALLOW FOR HOLD OR ADD. NO ALTERNATE WAS REQUIRED. AFTER ARRIVING 10 MINS BEFORE OUR SCHEDULED DEP TIME; WE WERE IN A RUSH TO TURN THE AIRPLANE AS WELL AS THE STATION. WE RAN THE BEFORE START CHKLIST NOTING THE FUEL. THE NEXT CHAIN OF EVENTS DIRECTLY AFFECT THE OUTCOME. THE #1 FLT ATTENDANT BRINGS UP A JUMPSEATER; THE RAMP HANDS THE BAGGAGE WTS IN THE DOCUMENT DOOR; THE FLT ATTENDANT THEN CALLS UP; ON THE INTERPHONE; THE PAX COUNT; THE RAMP GIVES THE SIGNAL TO START THE #2 ENG. ALL OF THOSE EVENTS OCCUR IN A MATTER OF 2-3 MINS. ALSO; NOW; THE NEXT ARRIVING FLT ARRIVES AND IS WAITING FOR OUR PARKING SPOT. WE START ENG #1; TAXI OUT; NEVER REALIZING WE WERE NOT FUELED. WE TOOK OFF ON XWIND; WE NOTED THE FUEL HAS ROLLED BACK MORE THAN NORMAL. WE CALLED TPA APCH; TURN DOWNWIND; AND STOPPED OUR CLB AT 3000 FT MSL. WE TOLD APCH WE NEEDED TO COME BACK TO TPA; MADE A NORMAL LNDG; FUELED; DEPARTED TO MIA. THAT WAS MY FIRST DAY OF SIX. I COMMUTED IN AROUND XF00 AM. I GOT UP AROUND XA00 WITH NO CHANCE TO EAT UNTIL XK00. I GRABBED SOME FOOD FROM THE VENDING MACHINE ABOUT XK00; BECAUSE I HAD A HEADACHE AND WAS STARVING. FLT XXX DEPARTED W INTO THE SUN EXACERBATING MY HEADACHE. I DEPARTED TPA; TIRED; HUNGRY; RUSHED; WITH A SPLITTING HEADACHE.